Aparabola has the focus at (4,6) and the directrix y = -6. Which equation represents this parabola?

(x - 4)² = 24y

Step-by-step explanation:

In a parabola with focus at (x, y) and directrix at y = k - p, we can write;

Focus: (h, (k + p))

Directrix: y = k - p

We are given focus at (4, 6)

Thus;

h = 4 &

k + p = 6 - - - (1)

Also, directrix at y = -6

Thus;

k - p = -6 - - - (2)

Adding eq(1) and eq(2) together gives us;

2k = 0

k = 0

Thus, p = 6

The equation takes the formula;

(x - h)² = 4p(y - k)

Plugging in the relevant values;

(x - 4)² = 4(6)(y - 0)

(x - 4)² = 24y

answer: the answer is b. i think hope i got it correct

step-by-step explanation:

answer: 5 17/33 % (to the tenth)

step-by-step explanation:

he guessed: 34.5 pounds

actual weight is 32.7

there for he is off:

34.5 -32.7 = 1.8

32.7 is the 100%

1.8 represents %? of 32.7

therefore:

32.7   - 100%

1.8     -     x%

x= 1.8*100%/32.7% = 18*100%/327%

x=1800%/327%   = (5 165/327)%

to the tenth:

5 17/33 %