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Allisa [31]
3 years ago
7

Find the solution to the following system using substitution or elimination:

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:x=1

Step-by-step explanation:

y=y

y = -x + 10

y = 7x + 2

-x+10=7x+2

10=8x+2

8=8x

x=1

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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
The booster club for a high school football team sold adult and student tickets to a banquet.
USPshnik [31]

Answer:

<em>Hi There the correct answer to this is A 14</em>

Step-by-step explanation:

All you really need to do is Add 9 to 5 then you get your answer from 14.

4 0
3 years ago
A flare is designed to follow the path modeled by the function h(t) = –16t2 + 100t, where t is the time elapsed, in seconds, and
gogolik [260]

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Step-by-step explanation:

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3 years ago
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Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

The equation for a cylinder is the radius of the circle times pi squared, multiplied by the height. 3 squared is 9, times pi is 9(pi). If we multiply this by the height, the answer is 90(pi) centimeters in volume.

5 0
3 years ago
Pls i need helppppp!
lawyer [7]

Answer:

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Step-by-step explanation:

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then you have to do is 0-8/1-(-2) to get -2

4 0
2 years ago
Read 2 more answers
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