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Answer:

The equation of the parabola in standard form is x = y²/52 + 7·y/26 - [tex]2\frac{3}{52}[/tex]

Step-by-step explanation:

The standard form of a parabola is a·y² + b·y + c

The focus of the parabola = (-10, -7), the directrix is x = 16, we have;

The coordinate of the focus is given as_F(h + p, k)

Where;

p = 1/(4·a)

The equation of the directrix is x = h - p

Therefore, given that the coordinates of the focus = (-10, -7), we have;

k = -7

Given that the equation of the directrix is x = 16, we have;

h - p = 16...(1)

h + p = -10...(2)

Adding equation (1) and (2), gives;

2·h = 6

h = 6/2 = 3

h = 3

From equation (1), p = h - 16 = 3 - 16 = -13

The general equation of the parabola is (y - k)² = 4·p·(x - h), therefore, substituting the values gives;

(y - (-7))² = 4 × (-13) × (x - 3)

(y + 7)² = -52·(x - 3)

y² + 14·y + 49 = -52·x + 156

x = (y² + 14·y + 49 - 156)/(-52) = (y² + 14·y + 49 - 156)/(-52) = y²/52 + 7·y/26 -107/52

Answer:

(y+7)^2= -52(x-3)

Step-by-step explanation:

answer for plato

hope this help Don't forget to like :)

Answer:

the slope intercept equation for this line would be y = x - 8

Step-by-step explanation:

the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8

Answer:

y= x-8

Step-by-step explanation:

Answer:

ill help you just send me the pictures of the problems!

Answer:

5

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

Answer:

x=5, y= -8

Step-by-step explanation:

Answer:

4 payments

Step-by-step explanation:

4500/250+=18

250*4=1000

Answer:D. 1

Step-by-step explanation:

Step-by-step explanation:

x is -9

hope it helps!:)

Answer:

-9

Step-by-step explanation:

Answer:

a. -32

Step-by-step explanation:

Answer:

A) 36

B) ? sorry man

C) 20

Step-by-step explanation:

Answer:

C) 17

Step-by-step explanation:

If u use PEMBDAS, you'll get 17 as you answer

Answer:

x = 1

Step-by-step explanation:

By the property of intersecting chords inside a circle, we have:

[tex]4(x + 1) = 8x \\ \\ 4x + 4 = 8x \\ \\ 4 = 8x - 4x \\ \\ 4 = 4x \\ \\ x = \frac{4}{4} \\ \\ \huge \red{ x = 1}[/tex]

Answer:

D

Step-by-step explanation:

40 is the highest because it's a positive number and -20 is the lowest cause it's negative

Answer:

D is

Step-by-step explanation:

Once you go past negatives, the "bigger" numbers are smaller than the "smaller" numbers. (-20>-60)

Answer: .9

Step-by-step explanation:

You divide by 100 and get .9

Answer:

90% = 0.900

Step-by-step explanation:

the basic rule of thumb for conversions of percentages into decimals is to place the period two spaces to the right of the first number in the percentage.

Answer:

Step-by-step explanation:

Hey do you have the answer?

Answer: 35%

Step-by-step explanation:

$70,000 was the down payment for a total price of $200,000.

Down payment percentage = 70,000 / 200,000

= 0.35

= 35%

Answer:

I don't know buh download socratic for the answer nd explanation

Answer:

Step-by-step explanation:

20?

Answer: The domain is the 3rd answer

Step-by-step explanation:

Answer:

x = 2 and y = 4

Step-by-step explanation:

Answer:

A........................

Answer:

13.4x - 0.5

Step-by-step explanation:

13.4x - 5.9 - 7.1 + 13.5

This may seem complicated, but it is really pretty simple once you get the hang of it.

First, you would organize your terms.

13.4x       - 5.9     - 7.1      + 13.5

Then you would add your like terms.

-5.9 - 7.1 + 13.5 = 0.5

So the answer to your problem would be 13.4x - 0.5

Answer:

PAGE 1

3.) d

4.) e

PAGE 2

5.) a

6.) e

PAGE 3

1.) b

2.) d

PAGE 4

7.) Graph C

8.) Graph B

PAGE 5

9.)  Dilation with the center at the origin and a scale factor of 2.

10.) Dilation with the center at the origin and a scale factor of 1/3.

Step-by-step explanation:

PAGE 1

3.)  d

b/c the rule for x-axis is (x,y) --> (x, -y)

One of the points is (1, 1) ==> (1, -1)

4.) The rule for y-axis is (x, y) --> (-x, y)

A(-5, 3) --> A'(5, 3)

B(2, 6) --> B'(-2, 6)

C(-1, -7) --> C'(1, -7)

PAGE 2

5.) The rule for x-axis is (x,y) --> (x, -y)

A(-5, 3) ---> A'(-5, -3)

B(2, 6) ---> B'(2, -6)

C(-1, -7) ---> C'(-1, 7)

6.) The rule for 90 degrees clockwise is (x, y) --> (y, -x)

B(3, 4) ---> B'(4, -3)

PAGE 3

1.) On the transitions right is positive and left is negative

So 2 units to the right = +2

And 9 units down = - 9

So (x, y) --> (x + 2, y - 9)

2.) A is wrong b/c that translation is (x, y) ---> (x + 3, y -3)

B is wrong b/c the translation is (x, y) ---> (x + 3, y + 3)

C is wrong b/c the translation is (x, y) ---> (x - 3, y + 3)

D is correct b/c the translation is (x, y) --->(x -3 , y -3)

A(6, 6) --> A'(3, 3)   B(7, 4) --> B'(4, 1)    C(4, 4) --> C'(1, 1)

PAGE 4

7.) The rule for 90 degrees rotation counterclockwise is (x, y) --> (-y, x)

The correct graph would show A(-3, 3) ----> (-3, -3)

The only graph that shows this is Graph C

8.) The rule for 180 degrees rotation is (x, y) ----> (-x, -y)

The correct graph would show A(-3, 3) ----> A'(3, -3)

Graph B is the only one that ALL the angles follow this rule

PAGE 5

9.) It is Dilation with the center at the origin and a scale factor of 2.

B/c --> A(3, 3) ---> A'(6, 6)     B(2, 0) ---> B'(4, 0)    C(5, 2) ---> C'(10, 4)

(3*2= 6, 3*2=6)     (2*2= 4, 0*2= 0)      (5*2= 10, 2*2= 4)

10.) It is Dilation with the center at the origin and a scale factor of 1/3

B/c ---> A(-3, 6) --> A'(-1, 2)   B(12, 3) ----> B'(4, 1)   C(-6, -6) ---> C'(-2, -2)

(-3*1/3= -1, 6*1/3= 2)         (12*1/3= 4,  3*1/3= 1)        (-6*1/3= -2, -6*1/3= -2)

Hope this helps ya!!!

Answer:

21 degrees

Step-by-step explanation:

i hope its right

Answer:

2,-3

Step-by-step explanation:

Because that's where the lines intercept, the other answers either have the wrong x and y or x and y switched.

Step-by-step explanation:

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