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Damm [24]
3 years ago
9

Please read and answer the following:

Mathematics
2 answers:
Elodia [21]3 years ago
7 0

Step-by-step explanation:

here

radius of circle(h,k)=(-7,11)

so ,h=-7

and k=11

r=8

we know that,

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

(X+7)^2 + (y-11)^2= 8^2

X^2+14x+49 +y^2-22y+121= 64

x^2+y^2+14x-22y+106=o is the equation of circle .

Hoochie [10]3 years ago
3 0
The last one is the answer!!
(x+7)^2 +(y-11)^2=64
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Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).
jonny [76]

Answer:

y=\frac{3}{4}x^2

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

y=a(x-h)^2+k where the vertex is (h,k)

Plug in the vertex (0,0)

y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

3=a(-2)^2\\3=4a\\\frac{3}{4} =a

Therefore, the value of a is \frac{3}{4}. Plug this back into y=ax^2:

y=\frac{3}{4}x^2

I hope this helps!

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Write the quadratic function in the form f (x) = a (x - h)? +k
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Answer:

f(x) = -3(x - 5)^2 + 4

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Step-by-step explanation:

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