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Finger [1]
3 years ago
11

What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6?

Mathematics
1 answer:
yarga [219]3 years ago
4 0
The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
               (h,k)

P is the distance between the vertex and either the directrix or focus,  in this case p = 1. 

a = 1/(4p)  or 1/(4*1) or 1/4

write the equation in vertex form

y = a(x-h)^2 + k

y = 1/4(x-8)^2 -7
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Search about Quadrilaterals. Glad I could help!
6 0
3 years ago
Read 2 more answers
The midpoint of UV is (5, -10). The coordinates of one endpoint are U(3,6). Find the coordinates of endpoint V.
Grace [21]

The answer is (7, -26) for The second endpoint.  

We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Ux + Vx)/2 = Mx

(Vx + 3)/2 = 5

Vx + 3 = 10

Vx = 7

And now we do the same thing for y values

(Uy + Vy)/2 = My

(Vy + 6)/2 = -10

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Vy = -26

This gives us the final point of (7, -26)

6 0
3 years ago
Read 2 more answers
Find the lateral surface area of this
Ksenya-84 [330]

Answer:

A=157.07\ cm^2

Step-by-step explanation:

Given that,

The radius of a cylinder, r = 5 cm

Height of the cylinder, h = 5 cm

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A=2\pi\times 5\times 5\\\\=157.07\ cm^2

So, the lateral surface area of the cylinder is 157.07\ cm^2.

7 0
3 years ago
If two angles are supplementary, their sum equals
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7 0
3 years ago
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Natasha_Volkova [10]
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In short, Your Answer would be 22 Feet 

Hope this helps!
6 0
3 years ago
Read 2 more answers
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