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zheka24 [161]
3 years ago
6

Someone plz. help me with 7 and 8

Mathematics
1 answer:
Anon25 [30]3 years ago
3 0
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25

If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25

Both sides of the equation are the same so it proves it lies on the circle

8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5

You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5

So the coordinates of Rachel's house are
(-1.5, 0.5)
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8/3

Step-by-step explanation:

Given that:

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What’s the vertex form of F(x)=x^2+2x-3
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\large\boxed{f(x)=(x+1)^2-4}

Step-by-step explanation:

\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================

\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================

\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4

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Answer:

P=0.00564

Step-by-step explanation:

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6 0
4 years ago
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