What is the solution set?

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

The equation of a parabola is

[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]

The general form is:

[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]

The vertex form is:

[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

[tex]( - \frac{13}{2} \: ,0)[/tex]

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

[tex](0, - 4 - \sqrt{3)} [/tex]

[tex](0, - 4 + \sqrt{3)} [/tex]

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Answer:

-1/32 × x

Step-by-step explanation:

let's define and identify the correct markers of the correct parabola.

so, we have the focus point F (0, -8).

we have the directrix y = 8.

that means the the vertex point (the middle between the focus and the directrix) is (0, 0).

a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.

so, we can rule out the 2 positive answer options.

to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.

e.g. x = 1

so,

y = -1/8 × x²

gives us y = -1/8 for x = 1

that means the point is (1, -1/8).

the distance to the focus (0, -8) is

(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =

= 64/64 + 3969/64 = 4033/64

the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.

so, the distance (1, -1/8) to (1, 8) is

(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64

that is not equal to the distance to the focus.

so, let's try

y = -1/32 × x

the point for x = 1 is (1, -1/32)

distance to focus

(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =

= 1024/1024 + 65025/1024 = 66049/1024

distance to directrix

(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024

which is the same distance as to the focus.

so, y = -1/32 × x is the right answer.

FYI - for an actual distance I would have to create the square roots of the numbers used here.

but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8[/tex]

Thus the missing side length is 8 cm

Hope that helps!

Answer:

3/10 or 0.3

Step-by-step explanation:

3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3

2 7/12

This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.

2 + 7/12= 2 7/12

Answer:

31

-----

12

Step-by-step explanation:

12         12           7         31

----  +  -------  +  -----  =  -------

12         12          12         12

Add the numerators together (top number) and keep the denominator the same (bottom number)

I hope this helps!

C = 2.7

First, simplify both sides of the equation.

0.2(1 − 5c) = 5c − 16

(0.2)(1) + (0.2)(−5c)= 5c + −16

0.2 + −c = 5c + −16

−c + 0.2 = 5c − 16

Now subtract 5c from both sides of the equation, then subtract 0.2 from both sides.

−c + 0.2 − 5c = 5c − 16 − 5c

−6c + 0.2 = −16

−6c + 0.2 −0.2 = −16 - 0.2

−6c = −16.2

Lastly, divide both sides by -6.

-6c/-6 = -16.2/6

2.7

Please mark this as brainliest, cheers.

Answer:

B. All four sides are congruent

Step-by-step explanation:

Answer:

7.1 x 10³

Step-by-step explanation:

Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.

Answer:

7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)

Step-by-step explanation:

1. Count how many places there are to the right of 7

2. There are 3

3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]

4. 7.1 x 10[tex]^{3}[/tex]  (remove all digits after 7.1  

Hope this helps :)

Answer:

13, 16, 19, 22, 25, etc.

Step-by-step explanation:

You're pretty much just adding three for the chart. And for the diagram, you're adding two.

Answer:

if your using a 60,60,60 triangle ; the centers are the same.

The triangle's equilateral.

hope it helps!!!

Step-by-step explanation:

See attached

Hope this helps! :D

Step-by-step explanation:

=108÷12

=9m/s

=9x0.001x1/3600

=2.5x10^6km/h

y(x)=0.3x

since he travels 0.3 kilometers for each minute (x)

then y as a function of x is 0.3×the number of minutes(x)

Answer:

.72p

Step-by-step explanation:

1p equals the original price

100 percent of p

we are reducing it by 28 percent, which means only 72 percent of p will remain

72 percent or .72

.72p

Answer:

obtuse triangle

Step-by-step explanation:

one angle measures more than 90°

dy= 2|x|dx

integral dy= integral 2|x|dx

y= X² + c

Answer:

What do you mean?

Step-by-step explanation:

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Answer:

168

Step-by-step explanation:

yea..

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

Answer:

Step-by-step explanation:

add all the three.

Answer:

60

Step-by-step explanation:

AD= AB+BC+CD

=22+29+9

=60 cm

Answer:

yes he is

Step-by-step explanation:

he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.

I hope this helps

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

Answer:

(2x+5)-3

Step-by-step explanation:

If an item usually costs d dollars a 12% discount can be represented as 0.88d.

This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.

Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).

For example, if the regular price is $100, 0.88 x 100 = $88.

Learn more about discount in: https://brainly.com/question/3541148

The units use for Tamara's cats is an illustration of metric units

Tamara's unit of feeding her cats is cups

From the complete question, the amount of feed Tamara gives her cat to be:

Amount = 1/8 cups

This means that the unit of feed Tamara used is cups

Hence, Tamara's unit of feeding her cats is cups

Read more about metric units at:

https://brainly.com/question/2555957

Answer:

168

Step-by-step explanation:

area of a trapezoid is

((a+b)/2)*h

((8+16)/2)*14

12*14 =

168