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nikklg [1K]
3 years ago
9

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents t

he parabola? y2 = –2x x2 = –2y y2 = –8x x2 = –8y
Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

\boxed{x^2=-8y}

Step-by-step explanation:

(a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y

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marusya05 [52]

Answer:

(-4, -2)

Step-by-step explanation:

The x-coordinate would stay the same, but the y-coordinate would be halved.  Thus, the corresponding point would be (-4, -2).

3 0
3 years ago
Seven less than one half of x
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Answer:

X/2-7

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3 years ago
A ball is rolling in a circular path that has a radius of 10 inches as shown in
elena55 [62]
The complete question in the attached figure

we know that
[circumference]=2*pi*r
for r=10 in
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5 0
3 years ago
Hi! Please help, I'd appreciate it!
Romashka-Z-Leto [24]

The volume of sphere is \frac{1372}{3}\pi feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

4\pi r^2=196\pi

Dividing both sides by 4π

\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49

Taking square root on both sides

\sqrt{r^2}=\sqrt{49}\\r=7

The radius is 7 feet.

Volume of sphere = \frac{4}{3}\pi r^3

Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi

The volume of sphere is \frac{1372}{3}\pi feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

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56766.97

Step-by-step explanation:

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