The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:

1 answer:

5 0

For a parabola at vertex (0,0)
we see that we have to go up and down
therfor it opens up or down

since focus is above directix, it opens up
x^2=4Py
p is distance from directix to vertex
since it opens up, P is positive
from -5 to 0 is 5 units
x^2=4(5)y
x^2=20y
solve for y
divide both sides by 20
y=(1/20)x^2

first one

You might be interested in

24 is what percent of 32

Airida [17]

Answer:

24 is 75% of 32

Step-by-step explanation:

To get the percent in decimal form we divide 24 by 32

24 ÷ 32 = 0.75

To get the decimal into a percent we multiply it by 100

0.75 × 100 = 75

7 0

2 years ago

Read 2 more answers

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $273.00. What was it worth

serg [7]

$210
because if it rose 30%, it's now 130% of what is used to be
or (what it used to be) ×1.3
so do the reverse and divide the new cost by 1.3
so 273÷1.3 which is 210

8 0

3 years ago

Read 2 more answers

Sally earns commission for selling cars at the Nissan dealership. She earns 5.5% on

cestrela7 [59]

Answer:

8800

Step-by-step explanation:

5 0

2 years ago

How do you solve 2x=12+2y

Sonbull [250]

2(x) - [12 + 2y) ➡ 0
2(x - y - 6)
2 ➡0 {It doesn't have any solution for the equation}
x - y - 6 ➡0
y ➡ 6 over -1 ; x ➡6 over 1
The slope = 1

Therefore your answer would have to be ➡
y= 6 over -1 ; x = 6 over 1 ; slope = 1