help me with this problem please

what is the coordinate of the vertex for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (5, -1)

what is the coordinate of the focus for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (3, -1)

The vertex of the equation of a parabola [tex]- 8 (x - 5) = (y + 1)^2[/tex] by compared with the standard form of the equation of a parabola [tex]x = a (y - k)^2 + h[/tex] is,

⇒ (h, k) = (5, - 1)

Where, [tex](h, k)[/tex] is the vertex of the parabola.

We have to give that,

The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

The standard form of the equation of a parabola is,

[tex]x = a (y - k)^2 + h[/tex]

Where, [tex](h, k)[/tex] is the vertex of the parabola.

Here, The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

It can be written as,

[tex](x - 5) = \frac{(y + 1)^2}{-8}[/tex]

Add 5 on both sides,

[tex]x = \frac{(y + 1)^2}{-8} + 5[/tex]

Now, compare with the standard form of the equation of a parabola,

h = 5

k = - 1

Therefore, the vertex of the parabola is, (5, - 1).

To learn more about parabolas visit:

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Answer:

11.5

Step-by-step explanation:

You divide 2 and 23

But I am not sure

Answer: 9 rides

Step-by-step explanation:

23 dollars minus the five dollars to enter is $18.

$18 is divided by the $2 required to ride each ride.

Answer:

x= 17

Step-by-step explanation:

5x-7=3x+27

move 3x to other side by doing the oppostie (subtracting 3x)

5x-7-3x=27

2x-7=27

move -7 to other side by adding it (to the other side)

2x= 7+27

2x= 34

divide by 2 (on both sides) to get x by itself

2x/2=34/2

x= 17

Part 1: 3 forms a right traingle; the rest do not.

Part 2:

7) 8.94

8) 6.71

9) 12.21

10) 7.62

11) 7.28

12) 6.32

Answer:

0.9646

Step-by-step explanation:

:)

Answer:

thanks :)

Step-by-step explanation:

Answer:3x +56

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

[tex]7(6x + 2) + 5x \\ 42x + 5x + 14 \\ 47x + 14[/tex]

Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

Answer:

80

Step-by-step explanation:

Answer:

y intercept: 250

slope: -10/3

Step-by-step explanation:

y intercept is where x = 0

slope is found by using the equation (y2 - y1) / (x2 - x1) = (200 - 250) / (15-0) = -50 / 15 = -10 / 3

The y intercept of the scatterplot is 250 sweat shirts and the slope is (10/3)

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the number of sweat shirts sold and x represent the temperature.

The y intercept is at (0, 250).

Using point (0, 250) and (15, 200):

Slope = (200 - 250) / (15 - 0) = 10/3

The y intercept of the scatterplot is 250 sweat shirts and the slope is (10/3)

Find out more on linear function at: https://brainly.com/question/2972832

Answer:

y = [tex]\frac{4}{5}[/tex] x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{4}{5}[/tex] , then

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, 2 ) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = [tex]\frac{4}{5}[/tex] x + 6 ← equation of line

Answer:

Below.

Step-by-step explanation:

Use the point-slope form of a straight line.

y - y1 = m(x - x1)

Here m = 4/5, x1 = -5 and y1 = 2, so

y - 2 = 4/5(x - -5))

y - 2 = 4/5 x  + 4

y = 4/5x + 6 is the answer in slope-intercept form.

Standard form:

Multiply through by 5:

5y = 4x + 30

4x - 5y = -30 is the answer in standard form.

Answer:

c

Step-by-step explanation:

Answer:

x= square root (10); x=-square root (10) or 3.16 and -3.16

Step-by-step explanation:

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21

Answer:

Step-by-step explanation:

Based on the data shown, there seems to be a very small association between age and pool type. Younger individuals seem to mainly prefer outdoor pools. Older individuals seem to still prefer outdoor pool but with a large percentage of that group preferring indoor pools, roughly 46%. This can be due to many reasons such as warmer temperatures in indoor pools, but there is not enough information to determine the reasoning.

Answer:

29

Step-by-step explanation:

Answer:

no answer.

Step-by-step explanation:

you showed 1 part of the question, add more please.

Answer:

76%

Step-by-step explanation:

76 out of 100 is equal to 76%. This is the answer

Answer:

people are saying its b but maybe its d

Step-by-step explanation:

Answer:1/3

Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.

Answer:

6/18=1/3

Step-by-step explanation:

here so the 6 is common with 18 and so that is 3

Answer:

$30.00

Step-by-step explanation:

$27.60/0.92 = $30.00

Answer:

$30

Step-by-step explanation:

92% = $27.60

1% = $27.60/92

100% $27.60/92 x 100

100% = $30

NOTE: The / is a fraction

Hope this helps!

Answer:

i'm pretty sure its D

Step-by-step explanation:

if you make a graph yourself you'll see all the rel;relationship match except for d

Answer:

knights and leopards

Step-by-step explanation

Answer:

the answer is 24.

Step-by-step explanation:

Solve 3(8+5) first then once you get that subtract 15 from the answer you got.

Answer:

170 pages

Step-by-step explanation:

Answer:

Distance between fence and diagonal piece = 7.48 feet (Approx.)

Step-by-step explanation:

Given:

Vertical fence height = 5 feet

Length of diagonal piece = 9 feet

Find:

Distance between fence and diagonal piece

Computation:

Using trigonometry theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²

Distance between fence and diagonal piece = √9² - 5²

Distance between fence and diagonal piece = √81 - 25

Distance between fence and diagonal piece = √56

Distance between fence and diagonal piece = 7.48 feet (Approx.)