Drag the tiles to the correct boxes to complete the pairs.
Given: u = <-2, -7>, v = <3, -4>, and w = <5, 1>.

Based on the components of the given vectors, match each vector subtraction with the graph of the resulting vector.

Please help me figure out the correct pairs, godbless the one who answers! (See images attached)

Drag The Tiles To The Correct Boxes To Complete The Pairs.Given: U = &lt;-2, -7&gt;, V = &lt;3, -4&gt;,
Drag The Tiles To The Correct Boxes To Complete The Pairs.Given: U = &lt;-2, -7&gt;, V = &lt;3, -4&gt;,

Answers

Answer 1

Performing subtraction operations on the given vectors gives;

Graph 1 → u - vGraph 2 → u - wGraph 3 → w - vGraph 4 → v - u

Which method can be used to complete the pairs correctly?

u - v = <-2 - 3, -7 - (-4) > = <-5, -3>

Therefore;

Graph 1 → u - v

u - w = <-2 - 5, -7 - 1> = <-7, -8>

u - w = <-7, -8> which corresponds with graph 2

Therefore;

Graph 2 → u - w

w - v = <5 - 3, 1 - (-4)> = <2, 5>

w - v = <2, 5> which corresponds with graph 3

Therefore;

Graph 3 → w - v

v - u = <3 - (-2), -4 - (-7)> = <5, 3>

v - u = <5, 3> which corresponds with graph 4

Therefore;

Graph 4 → v - u

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Related Questions

Is it possible to make a right angled triangle with the given sides 2.5 cm 6.5 cm 6 cm justify your answer if possible which is the hypotenuse?

Answers

It is possible to construct a triangle whose sides are 2.5 cm 6.5 cm and 6 cm because the sum of two sides are greater than three sides. 6.5 is the hypotenuse of the triangle because it is the largest length.

In the given question, we have to check that it is possible to construct a triangle whose sides are 2.5 cm 6.5 cm and 6 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.

To check this we firstly add the 2.5 and 6.5

2.5 + 6.5 > 6

9 > 6

Now we add 2.5 and 6

2.5 + 6 > 6.5

8.5 > 6.5

Now we add 6.5 and 6

6.5 + 6 > 2.5

12.5 > 2.5

It is possible to construct a triangle whose sides are 2.5 cm 6.5 cm and 6 cm because the sum of two sides are greater than third sides.

As we know that the largest length is the hypotenuse of the triangle. So 6.5 is the hypotenuse of the triangle because it is the largest length.

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What would happen to the graph if she saved $2.50 a week? Use the color green to represent this situation on
the graph provided. Write the equation of the line represented in the graph. Describe how the components of
the equation represent the situation.

Answers

The line's equation is y = 25x + 50.A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

What is meant by line equation?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Wolfram MathWorld's linear.

a). I began with a $50 savings because the line's starting point is (0, 50).

b). Money with me after 5 weeks will be $175 since the segment's endpoint is (5, 175).

c).  Let y - y' = m(x - x') be the equation for the line shown in the graph.

where a point on the graph is (x', y').

And "m" represents the line's slope.

   Slope of the line =

                            m =

                            m = 25

    Since, the line passes through (0, 50),

    y - 50 = 25(x - 0)

    y = 25x + 50

    y = 25x + 50

    For x = 6,

    y = 25×6 + 50 = 200

    For x = 7,

    y = 25×7 + 50 = 225

    For x = 8,

    y = 25×8 + 50 =250

d). For x = 10 weeks,

   y = 25×10 + 50 = $300

e). For x = 15 weeks

    y = 25×15 + 50 = $425

f). For x = 50 weeks,

    y = 25×50 + 50 = $1300

g). Equation of the line is,

    y = 25x + 50

The complete question is:

The graph below shows how much money you have in savings each week. Use

this graph to answer questions (a – g).

a. According to the graph how much money did you start with in your savings?

b. How much money will you have after 5 weeks of saving?

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What is the coefficient of 3x²?

Answers

So on solving the provided question we can say that here, coefficient of 3x² is 3

What is the coefficient?

A coefficient in mathematics is a polynomial, a series, or the multiplicative coefficient of a particular term in an expression. Typically numeric, however any expression is permitted. The term "parameter" can also refer to the coefficients themselves if they are variables. A number times a variable equals a coefficient. Coefficient examples include:  The coefficient is 14 in phrase 14c 14c 14c. The coefficient is 1 for word g. multiplies the variable by this amount. example  Given that "z" is a variable and that 6z is the definition of the term, the coefficient is 6. One is the coefficient of the square of x.

here,

coefficient of 3x² is 3

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Please help cause this is due tmrw and I don’t know it

Answers

The dimensions of the rectangle are y - 4y−4 for the length and 3y3y for the width

What is area of a rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.We calculate the area of a rectangle to find the area occupied by the rectangle within its perimeter.In geometry, area of rectangle is the region covered by the rectangle in a two-dimensional plane. A rectangle is a type of quadrilateral, a 2d shape that has four sides and four verticesThe area of the rectangle is the region occupied by the sides of the rectangle. The area of the rectangle based on its dimensions is:3y(y-4)-3y²-12yThe dimensions of the rectangle are y - 4y−4 for the length and 3y + 53y+5 for the width. The area of the rectangle based on its dimensions is:(3y+5)(y-4)-3y²-7y-20

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Joshua makes $12 per hour. Next monster, he will be making $14 per hour. What rate of increase does this represent? ROUND TO THE NEAREST PERCENT.

Answers

The percentage rate of increase in Joshua wages is 17%

What is rate in increase?

Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.

To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.

This means percentage rate in increase = (new wage - original wage )/original wage × 100

= (14-12)/12 ×100

= 2/12 ×100

= 100/6 = 17% ( nearest percent)

Therefore the percentage increase in Joshua wage is 17%

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2n>20 Solve the inequality. Graph the solution.

Answers

Answer:

n>10

Step-by-step explanation:

2n>20

n>20/2

n>10

If XP = 5x - 1 and PZ = 4x + 1, what is XZ?

Answers

By adding the two given segments, we will get:

XZ  = XP + PZ

XZ = 9x

How to find the length of XZ?

Here we have a segment called XZ, such that it has a midpoint P.

We know that:

XP = 5x - 1

PZ = 4x + 1

Notice that above we divided our segment into two smaller ones, but the first one ends at P and the second one starts at P, then we can write:

XZ  = XP + PZ

Then XZ is just the sum of the two expressions above:

XZ = 5x - 1 + 4x + 1

XZ = 9x + 1 - 1

XZ = 9x

Where x is a variable.

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Work out the perimeter of a semicircle the radius 3cm give you answer I’m terms of pi

Answers

The perimeter of a semicircle the radius 3cm give you answer I’m terms of pi is P = 6 + 3pi.

What is perimeter of a semicircle?

The complete length of a semicircle's boundary is referred to as the circumference of a semicircle, which is another name for its perimeter. The diameter's length and one-half of the original circle's circumference are added to determine it. Linear units such as "inches," "feet," "metres," or "centimetres," etc. are used to indicate the circle's circumference.

Given that the radius of the semicircle is 3cm.

The formula for the perimeter of a semicircle is:

P = pi(r) + 2r

Substituting the value of r = 3 we have:

P = pi(3) + 2(3)

P = 6 + 3pi

Hence, the perimeter of a semicircle the radius 3cm give you answer I’m terms of pi is P = 6 + 3pi.

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what measrment is equal to 6 kilograms

Answers

Answer:

6000000 mg

13.2277 lb

6000 g

13.2276 pounds

Step-by-step explanation:

Hopefully I am right but those are all I can find that are equal to 6 kilograms.

Jamal implified the expreion StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot = StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x quared y quared StartRoot 3 x EndRoot

Which decribe the error Jamal made?
He hould have written the quare root of y Supercript 8 in the anwer a y Supercript 4, not y quared. He hould have written the quare root of x Supercript 4 in the anwer a x, not x quared. He hould have written the 5 inide of the radical in the anwer. He hould have written the 3 outide of the radical in the anwer

Answers

The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer.

Jamal was trying to simplify the expression StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. He wrote his answer as 5 x quared y quared StartRoot 3 x EndRoot. However, this was incorrect because he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer. The correct answer is StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x StartRoot 4 Baeline y Supercript 4 Baeline EndRoot.The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared.

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A rope of length 205 m is cut into 10 pieces of one length and 5 pieces of another
length. The total length of three of the first 10 lengths exceeds that of two the second
length by 2 m. Find the lengths of the pieces.

Answers

12 m length rope of 10 pieces and 17 m rope of 5 pieces.

What is equation with two variables?

The equation that has two variable terms and another equation is needed to solve both equations simultaneously is called equation with two variables.

What is the length of the rope pieces?

Given, total length of rope = 205 m.

The rope is cut into 10+5 = 15 pieces, in where 10 pieces rope are the same size, and the remaining 5 pieces are different size.

assume, length of first 10 piece = X m

length of last 5 piece = Y m

As per the first condition, total length of three of the first 10 length exceeds that of two the second length by 2 m.

hence, 3X - 2Y = 2

again, we know the total length = 205 m

10X + 5Y = 205

from the first equation, 3X = 2 +2Y

                                X = (2+2Y) / 3

putting the X value to the 2nd equation and we get

10(2+2Y)/3 + 5Y = 205

20+ 20Y+15Y = 615

35Y = 595

Y = 17 m

X = (2+2×17) /3 = 12 m

10 pieces of X length = 10 pieces of 12 m length

5 pieces of Y length = 5 pieces of 17 m length

10×12 = 120m

5×17 = 85m

120m + 85m = 205m

hence, verified.

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Is a coordinate plane 2 dimensional?

Answers

Yes, a coordinate plane 2 dimensional

A coordinated plane is an area formed by the intersection of two lines and so is called 2-Dimensional. The horizontal line is called X-axis and the vertical line is called Y-axis. The intersection point of these two lines is called origin.

Coordinates are set of two numbers used to locate a specific point on the plane. They are represented in form of (x,y). The points can be positive zero or negative. They are used to plot graphs pin points draw lines etc.

A coordinated plane has 4 quadrants. A quadrant can be defined as a region on a plane where both X,Y axis is perpendicular. They are:

First quadrant: x > 0, y > Second quadrant: x < 0, y > 0Third quadrant: x < 0, y < 0Fourth quadrant: x > 0, y < 0.

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A fair die has its faces numbered from 1 to 6. Let random variable f represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3. 5 and standard deviation 1. 7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded.

Answers

A fair dice has its faces numbered from 1 to 6. Let random variable f represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3. 5 and standard deviation 1. 7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded. The mean of the distribution of sample means is 3.5 and the standard deviation of the distribution of sample means is 0.0854.

The mean of the distribution of sample means

μ = 3.5

The standard deviation of the distribution of sample means can be calculate as follows:

σₓ = σ/√n

σₓ = 1.7078/√400

σₓ = 0.0854

Thus, the right answer is provided by the data of Mean 3.5 and Standard Deviation 0.0854.

Your question is incpmplete but most probably your full question was

fair die has its faces numbered from 1 to 6. Let random variable F represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3.5

and standard deviation 1.7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 imes, and the mean of the 5 values landing face up is recorded.

The mean and standard deviation of the results of the simulation should be

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Solve for x . The polygons in each pair are similar

Answers

According to  quadrant geometry value of x is 7

What is quadrant in geometry?

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Write a proportion using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.

4(14) = 8(-7+2x)

56 = -56 + 16x

112 = 16x

x=7

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Question:

Solve for x . The polygons in each pair are similar

Which of the following best describes a chord?
A. A line segment from the center of a circle to any point on the circle
B. A line segment that intersects a circle at exactly one point
C. A line segment that is on the outside of a circle
D. A line segment that has both endpoints on a circle

Answers

Chord of a circle is a straight line segment whose endpoints both lie on the circle.

Which line is referred to as a chord?

A chord is a line segment that connects any two locations on the circle’s circumference.A straight line segment that connects and includes two points on a circle. A straight line connecting two points on a curve. 3.: an unique mood or temperament. I hit a responsive chord.

A chord is a line segment that connects two points on a curve in plane geometry. The word is frequently used to denote a line segment with endpoints on a circle. A chord is a line segment that connects two points on any curve, such as an ellipse. The diameter of a circle is defined as a chord that goes through its center point. The word chord is derived from the Latin chorda, which means bowstring.

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FIRST WITH RIGHT ANSWER GETS BRAINIEST
(100 Points)

Select all that are true.
(Picture Below)

Answers

Answer:

C and D

----------------------------------

Simplify each product and compare with the right side:

A)

3/8 × 54 = 3/4 × 27 = 81/4 = 20 1/4, incorrect

B)

5/12 × 26 = 5/6 × 13 = 65/6 = 10 5/6, incorrect

C)

11/15 × 20 = 11/3 × 4 = 44/3 = 14 2/3, correct

D)

3/8 × 48 = 3 × 6 = 18, correct

E)

7/12 × 48 = 7 × 4 = 28, incorrect

Answer:

3 and 4

Step-by-step explanation:

Evaluate each given expression.

Expression 1

[tex]\begin{aligned} \implies \dfrac{3}{8} \times 54 & =\dfrac{3\times54}{8}\\\\&=\dfrac{162}{8}\\\\&=\dfrac{162 \div 2}{8 \div2}\\\\&=\dfrac{81}{4}\\\\&=20\; \rm r\;1\\\\&=20\frac{1}{4}\end{aligned}[/tex]

Therefore, as 20⁵/₆ ≠ 20¹/₄ the equation is not true.

Expression 2

[tex]\begin{aligned} \implies \dfrac{5}{12} \times 26 & =\dfrac{5 \times 26}{12}\\\\&=\dfrac{130}{12}\\\\&=\dfrac{130\div2}{12\div2}\\\\&=\dfrac{65}{6}\\\\&=10\;\rm r\;5\\\\&=10\dfrac{5}{6}\end{aligned}[/tex]

Therefore, as 9³/₄ ≠ 10⁵/₆ the equation is not true.

Expression 3

[tex]\begin{aligned}\implies \dfrac{11}{15} \times 20 & =\dfrac{11 \times 20}{15}\\\\&=\dfrac{220}{15}\\\\&=\dfrac{220\div5}{15\div5}\\\\&=\dfrac{44}{3}\\\\&=14\; \rm r \;2\\\\&=14\dfrac{2}{3}\end{aligned}[/tex]

Therefore, as 14²/₃ = 14²/₃ the equation is true.

Expression 4

[tex]\begin{aligned} \implies\dfrac{3}{8} \times 48 & =\dfrac{3\times 48 }{8} \\\\& =\dfrac{144}{8} \\\\& =\dfrac{18 \times \diagup\!\!\!\!8}{\diagup\!\!\!\!8}\\\\&=18\end{aligned}[/tex]

Therefore, as 18 = 18 the equation is true.

Expression 5

[tex]\begin{aligned} \implies\dfrac{7}{12} \times 48 & =\dfrac{7\times 48 }{12} \\\\&=\dfrac{336}{12}\\\\&=\dfrac{28 \times 12}{12}\\\\&=28\end{aligned}[/tex]

Therefore, as 21 ≠ 28 the equation is not true.

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 262626 thousand dollars and 222 thousand dollars, respectively. Suppose we select one of these cars at random. Let x=x=x, equals the sale price (in thousands of dollars) for the selected car. Find p(26

Answers

The probability of P(26 < X < 30) is 0.48.

In this case, the given parameters are:

Mean μ = 26

Standard deviation σ = 2

So, the probability P(26 < X < 30) will be represented as:

P(26 < X < 30)

= P(z1 < z < z2)

where:

z = (X – μ) / σ

Thus, now we have:

P(26 < X < 30)

= P((26 – 26) / 2 < z < (30 – 26) / 2)

= P(0 / 2 < z < 4 / 2)

= P(0 < z < 2)

= P(z < 2) – P(z < 0)

For z-score of probabilities, we have:

P(26 < X < 30)

= P(z < 2) – P(z < 0)

= 0.97725 – 0.5

= 0.47725

= 0.48

Hence, the probability of P(26 < X < 30) is 0.48.

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Although part of your question is missing, you might be referring to this full question: Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car. Find P(26< X<30).

Solve each equation: Be sure to check the solutions:
1. X^2+17x+42=0
2. t^2-26t=56
3. y^2-84=5y
4. 17r+r^2=-52
PLEASE ANSWER QUICK!!!!!!!!!

Answers

Answer:

(1)...  x1 = -14, x2 = -3

(2)... t1 = -2, t2 = 28

(3)... y1 = -7, y2 = 12

(4)... r1 = -13, r2 = -4  

Step-by-step explanation:

Answer:

1.

[tex] {x}^{2} + 17x + 42 = 0 \\ using \: quadratic \: equation \: formula \\ x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 42 } }{2 \times 1} \\ x = \frac{ - 17±11}{2} \\ for \: x = \frac{ - 17 + 11}{2} \\ x = - 3 \\ for \: x = \frac{ - 17 - 11}{2} \\ x = - 14[/tex]

Answer for 1 : x=-3, x=-14

2.

[tex]t^2-26t=56 \\ also \: using \: quadratic \: equation \\ t = 28 \: or \: t = - 2[/tex]

Answer for 2: t=28, x=-2

3.

[tex]y^2-84=5y \\ {y}^{2} - 5y - 84 = 0 \\ applying \: quadratic \: equation \\ y = 12 \: or \: y = - 7[/tex]

Answer for 3: y=12, y=-7

4.

[tex]17r+r^2=-52 \\ {r}^{2} + 17r + 52 = 0 \\ r = - 4 \: or \: r = - 13[/tex]

Answer for 4: r=-4, r=-13

WILL MARK BRAINLIEST ONLY FOR TWO PARAGRAPHS+50 ppts
“The biblical account of creation is a metaphor.”
Evaluate this statement considering arguments for and against.
In your response you should:
• refer to Christian teachings
• reach a justified conclusion*
*(This is not a maths question, it is a religious studies question)

Answers

The statement "biblical account of creation is a metaphor' is a contentious one, as it challenges a traditional and fundamental belief within Christianity.

What are some argument for biblical account of creation?

One argument on how biblical account of creation is a metaphor is because it is written in a symbolic and metaphorical language. Many scholars and theologians argue that the creation story in the Bible should not be taken literally, but rather as a symbolic representation of God's power and authority.

Another argument is that the scientific evidence for the origins of the universe and the evolution of life on Earth is incompatible with the literal interpretation of the biblical account of creation. Therefore, the statement that the "biblical account of creation is a metaphor" can be seen as a way of reconciling scientific understanding with religious belief.

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Calculate The length of a staircase that is 3.2m and has a standard height of 4.7 m

Answers

answer: hello

Step-by-step explanation:

If you get the answer then tell me

What is the simplest radical form of the expression?
(x4y7) ¾/
x³ ys √x
x²y² √√x²y²
xy² √√xy
x6 y ¹0 √y

Answers

The simplest radical form of the expression (x^4y^7)^3/4 is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].

What is a radical?

A radical in mathematics is the opposite of an exponent, which is symbolised by the sign "√" also known as root. The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root.

The given expression is -

(x^4y^7)^3/4

To solve apply the exponent rule → (a·b)^n =a^nb^n

(x^4y^7)^3/4 = [(x^4)^3/4 · (y^7)^3/4]

= x^3 · y^21/4

= x^3y^21/4

=x^2|x|y^5[tex]\sqrt[4]{y}[/tex]

Therefore, the simplest radical form is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].

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What is the roots of the equation x² 7x 10?

Answers

Answer:

-5 and -2

Step-by-step explanation:

What is the domain of f/x )= x?

Answers

The domain of f(x) = x is all real numbers. This is because the input (x) is the same as the output (f(x)).

This means that any value that is inputted into the function will result in the same value as the output, regardless of the value. The domain of the function can be expressed mathematically as:

Domain of f(x) = x = {x ∈ R}

This means that the domain of f(x) is all real numbers, as any real number put into the function will result in that same real number being outputted. For example, if x = 5, then f(x) = 5. This illustrates that the domain of f(x) = x is all real numbers.

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1,024 divided by 32 please help

Answers

Answer:

32

Please mark brainliest if this is correct! :)

Answer:

1024/32= 32.

Step-by-step explanation:

i call it a calculator

what is 1+1+6+5+8+(+(+8+*8766735

Answers

Answer:

your answer is 561,072,052

Can anyone help me with this question?
Solve -2x^2 + 5x + 12 > or = 0

Answers

Answer: its 3.7 but you have to round.

Step-by-step explanation:

In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. if three such number cubes are rolled, what is the probability that all three show a number 10 or larger? a. (startfraction 1 over 12 endfraction) cubed b. (startfraction 2 over 12 endfraction) cubed c. (startfraction 3 over 12 endfraction) cubed d. (startfraction 10 over 12 endfraction) cubed

Answers

The correct answer is d. (start fraction 10 over 12 end fraction) cubed

Explanation:

Probability is a measure of the likelihood of an event happening. It is a number between 0 and 1, with 0 indicating that an event will not happen and 1 indicating that an event will happen. A probability of 0.5, for example, indicates that an event has a 50% chance of happening.

Probability is usually expressed as a fraction, decimal or percentage.

It can be calculated by taking the number of favourable outcomes divided by the number of total possible outcomes. For example, if you wanted to calculate the probability of rolling a 4 on a fair 6-sided die, you would divide the number of favourable outcomes (1) by the number of possible outcomes (6), giving you a probability of 1/6 or 0.1667.

The probability of rolling a number 10 or greater on a single 12-sided die is 10/12 or 5/6. Since the question asks for the probability that all three dice will roll a number 10 or greater, we must cube the probability of rolling a number 10 or greater on a single die, which is (10/12)^3 = (5/6)^3 = (125/216) = (10/18) = (10/12)^3.

Therefore the the probability that all three show a number 10 or larger is [tex](\frac{10}{12}) ^{3}[/tex].

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Ix time a number le 20 i the ame a four time the number increaed by 6. Find the number

Answers

The number is 14. Dividing both sides by 4 gives -4 = 4 × number, which can be further simplified to number = -4 ÷ 4. This means that the number is 14.

20 = 4 × (number + 6)

20 = 4 × number + 24

20 - 24 = 4 × number

-4 = 4 × number

number = -4 ÷ 4

number = -1

The equation provided is 20 = 4 × (number + 6). Rearranging this equation gives 20 = 4 × number + 24. Subtracting 24 from both sides gives 20 - 24 = 4 × number. Dividing both sides by 4 gives -4 = 4 × number. Dividing both sides by 4 once again gives number = -4 ÷ 4. Therefore, the number is 14.

To find the number in the equation given, we can first rearrange the equation so it is in the form of 20 = 4 × number + 24. Then, subtracting 24 from both sides gives us 20 - 24 = 4 × number. Dividing both sides by 4 gives -4 = 4 × number, which can be further simplified to number = -4 ÷ 4. This means that the number is 14.

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An angle bisector of a triangle divides the opposite side of the triangle into segments 7 cm and 9 cm long. A second side of the triangle is 22.5 cm long. Find all possible lengths for the third side of the triangle

Answers

The other possible length for the third side of the triangle is 15 cm.

What is an Angle Bisector Theorem?

An angle bisector of a triangle divides the opposite side of the triangle into segments that are in the same ratio as the other two sides of the triangle. This is called the Angle Bisector Theorem.

Given that the angle bisector divides the opposite side into segments of 7 cm and 9 cm, the ratio of the other two sides of the triangle must also be 7:9.

Since the second side of the triangle is 22.5 cm, the third side must be:

x = (22.5 * 9) / 7 = 27 cm

So, the third side of the triangle is 27 cm.

The other side can be calculated by using the Pythagorean theorem.

c^2 = a² + b²

b = √(c² - a²)

b = √((27)² - (22.5)²)

b = √(729 - 506.25)

b = √222.75 = 15cm

Hence, The other possible length for the third side of the triangle is 15 cm.

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Determine the type of dilation shown and the scale factor used.

Enlargement with scale factor of 1.5
Enlargement with scale factor of 2.5
Reduction with scale factor of 1.5
Reduction with scale factor of 2.5

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2.5[/tex]

So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5

So, our required answer will be :

Enlargement with scale factor of 2.5

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