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FIRST AND CORRECT ANSWER= BRAINLIEST

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Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

[tex](0,7),(-13,-97)[/tex]

Equation Form:

[tex]x=0,y=7\\x=-13,y=-97[/tex]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(8*x+7)=0

Equation of a Straight Line

Solve   y-8x-7  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.'

n this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-8x-7  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-8 Our line therefore "cuts" the x axis at x=-0.87500

 x-intercept = 7/-8  = -0.87500

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 23.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 23.000 - 7.000 = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 16.000/2.000 =  8.000

Geometric figure: Straight Line

 Slope = 16.000/2.000 = 8.000

 x-intercept = 7/-8 = -0.87500

 y-intercept = 7/1 = 7.00000

Pull out like factors :

  -x2 - 5x - 7  =   -1 • (x2 + 5x + 7)

Trying to factor by splitting the middle term

2.2     Factoring  x2 + 5x + 7

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +7

Step-1 : Multiply the coefficient of the first term by the constant   1 • 7 = 7

Step-2 : Find two factors of  7  whose sum equals the coefficient of the middle term, which is   5 .

     -7    +    -1    =    -8

     -1    +    -7    =    -8

     1    +    7    =    8

     7    +    1    =    8

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Find the Vertex of   y = -x2-5x-7

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens down and accordingly has a highest point (AKA absolute maximum) .    We know this even before plotting  "y"  because the coefficient of the first term, -1 , is negative (smaller than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -2.5000  

Plugging into the parabola formula  -2.5000  for  x  we can calculate the  y -coordinate :

 y = -1.0 * -2.50 * -2.50 - 5.0 * -2.50 - 7.0

or   y = -0.750

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = -x2-5x-7

Axis of Symmetry (dashed)  {x}={-2.50}

Vertex at  {x,y} = {-2.50,-0.75}

Function has no real roots

Solve Quadratic Equation by Completing The Square

3.2     Solving   -x2-5x-7 = 0 by Completing The Square .

Multiply both sides of the equation by  (-1)  to obtain positive coefficient for the first term:

x2+5x+7 = 0  Subtract  7  from both side of the equation :

  x2+5x = -7

Now the clever bit: Take the coefficient of  x , which is  5 , divide by two, giving  5/2 , and finally square it giving  25/4

Add  25/4  to both sides of the equation :

 On the right hand side we have :

  -7  +  25/4    or,  (-7/1)+(25/4)

 The common denominator of the two fractions is  4   Adding  (-28/4)+(25/4)  gives  -3/4

 So adding to both sides we finally get :

  x2+5x+(25/4) = -3/4

Adding  25/4  has completed the left hand side into a perfect square :

  x2+5x+(25/4)  =

  (x+(5/2)) • (x+(5/2))  =

 (x+(5/2))2

Things which are equal to the same thing are also equal to one another. Since

  x2+5x+(25/4) = -3/4 and

  x2+5x+(25/4) = (x+(5/2))2

then, according to the law of transitivity,

  (x+(5/2))2 = -3/4

We'll refer to this Equation as  Eq. #3.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+(5/2))2   is

  (x+(5/2))2/2 =

 (x+(5/2))1 =

  x+(5/2)

Answer:

8 hours.

Step-by-step explanation:

80 = 12 + 8.5t    where t is the time rented in hours

8.5t = 80 - 12 = 68

t = 68/8.5

=  8 hours.

Answer:

Simple

65 miles per hour on average

Step-by-step explanation:

You add 60 to 70 and then you divide them by 2

Which is

60 + 70 = 130

130 ÷ 2 = 65

The average speed Ethan will be 65 miles per hour on average.

The speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

That Ethan drove the first half of his trip's distance at an average rate of 60 miles per hour, and the second half at an average rate of 70 miles per hour.

The average speed will be calculated as,

60 + 70 = 130

130 ÷ 2 = 65 miles per hour

Therefore, the average speed Ethan will be 65 miles per hour on average.

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Answer:

is the amount of space it occupied 18

Answer:  = 2(7 + 3) ^2= 2 * 10^2= 200

Answer:

Correct option is A)

Given,a,b are distance roots of x

3

+3x

2

−1=0

⇒a

3

+3a

2

−1=0 and b

3

+3b

2

−1=0

let the third root be c

then c

3

+3c

2

−1=0

product of roots =

a

−d

=

1

−(−1)

=1

⇒

abc=1

c=

ab

1

but c is root of x

3

+3x

2

−1=0

⇒c

3

+3x

2

−1=0

⇒

(ab)

3

1

+

(ab)

2

3

−1=0

⇒

1+3ab−(ab)

3

=0

.....(1)

in equation (1)

(ab)

3

−3(ab)−1=0

⇒ab is root of

x

3

−3x−1=0

∴(ab) is root of

x

3

−3x−1=0

Answer:

Step-by-step explanation:

as i think it is triangle which means the sum of interior angle 180

14x+13+4x+13+6x+2=180

24x+28=180

24x=152

x=6.2

Answer:

6 units

Step-by-step explanation:

4 1/2 x 1 1/3= 6

Answer:56Step-by-step explanation:7k²=21952

k²=21952/7

k²=3136

k=√3136

k=56

PLS MARK ME AS BRAINLIEST

Answer:

224

Step-by-step explanation:

7×8×4= 224 that is the answer

Step-by-step explanation:

cos(81) = x/sqrt(7)

x = sqrt(7)×cos(81) = 0.413886691...

Answer:

849in 2

Step-by-step explanation:

sally needs to wrap a birthday gift.

the surface area of the gift is 894 in 2.

the formula for surface area of a rectangular prism is S = 2(lw + lh + wh).

to use the formula . i added (lw + lh+ wh) then multiplied it by 2 . so sally will need 894in2 of wrapping paper for the gift.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]

[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]

Answer:

The answer to your question is C D=1

Step-by-step explanation:

i'm new to brainly but I'm also really smart in math have a nice day glad to help

Answer:

Both are 157 degrees

Step-by-step explanation:

A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.

Answer:

Step-by-step explanation:

Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

a +b = 180      {Linear pair}

23 + b = 180

       b = 180 - 23

b = 157°

c = b   {Vertically opposite angles are congruent}

c = 157°

Answer:

Step-by-step explanation:

The slope-intercept form is

Convert the given equation into slope-intercept form

The slope is:

The y-intercept is:

Correct choice is A

First isolate y

Compare to slope intercept form y=mx+b

Answer:

1. 5 dimes

Step-by-step explanation:

5 dimes

Two quarters is $0.50.

1. 5 dimes = 5 * $0.10 = $0.50

2. 5 dimes + 1 nickel = 5 * $0.10 + $0.05 = $0.55

3. 4 dimes = 4 * $0.10 = $0.40

5. 4 dimes + 1 nickel = 4 * $0.10 + $0.05 = $0.45

The only amount of money that's equal to $0.50 is 1. 5 dimes

Answer:

James has 4 red balloons

Step-by-step explanation:

16 × 1/4 = 4

You could also say 16 ÷ 4 = 4

Hope that helps!

Answer:

its 54

Step-by-step explanation:

i got it right on time4learning

Answer:

x=7.51

Step-by-step explanation:

Tangent would be the easiest option here in this problem so to do this set up the proportion

[tex] \frac{ \tan(30) }{1} = \frac{x}{13}[/tex]

Cross multiply to get x=tan30(13)

Multiply tan30 by 13 to get the answer to x which is

x=7.51 rounded to the nearest hundredth

Answer:

x is 75° ........................

Answer:

I believe the answer is C.

[tex] \sqrt{35} [/tex]

The value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

It is given that the [tex]\rm log_7343[/tex]

It is required to find the value of  [tex]\rm log_7343[/tex]

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have  [tex]\rm log_7343[/tex]

We know the logarithm properties that:

[tex]\rm log_ac^n = n\times log_ac[/tex]

[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]

We can write [tex]\rm log_7343[/tex] as

= [tex]\rm log_77^3[/tex]   (∵ 343 = [tex]7^3[/tex])

= [tex]\rm 3log_77[/tex]    [tex]\rm (log_ac^n = n\times log_ac)[/tex]

= 3            [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]

Thus, the value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

Learn more about the logarithm here:

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Answer:

D

Step-by-step explanation:

Answer:

10,000 ★ soz if im wrong

Step-by-step explanation:

I hope the best

Answer:

10,000kg

Step-by-step explanation:

200 bags

1bag=50,000g

200bags=?

cross multipy

200bags x 50,000g

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

1bag

=10 000 000grams

1000g=1kg

10,000,000g

10,000,000/1000

=10,000kg

brainiest please

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

To learn more about the function refer to the link;

https://brainly.com/question/5245372

Answer:

A) y = -4sin(x)

Step-by-step explanation:

Just took the quiz on edge 2022

Answer:

D

Step-by-step explanation:

Answer: One if any.

-x = x - 10                  Add x to both sides

-x+x = x + x - 10          Combine

0 = 2x - 10                   Add 10 to both sides

10 = 2x - 10+10            Combine

10 = 2x                         Divide by 2

10/2=2x/2

x = 5

Definite Answer: One Solution

Answer:i took the test and this was my answer. goodluck mate :)

Step-by-step explanation:

Answer:

The answer is y squared over 12 minus x squared over 24 equals 1

Step-by-step explanation:

[(30 x 8,25) + (20 x n)] / 50 = 8,4

247,5 + 20 x n = 420

n = (420 - 247,5) : 20

n = 8,625