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solmaris [256]
3 years ago
7

What is the midpoint of the segment shown below

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

(6,3)

Step-by-step explanation:

The distance between (2,3) and (10,3) is 8 units. If we divide that in half we get 4 units. If you add 4 to the x coordinate in (2,3) you get (6,3). You should leave the y coordinate the same because both y coordinates for the first and second point are 3.

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What’s the vertex form of F(x)=x^2+2x-3
kupik [55]

Answer:

\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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2 5 ÷ 6 7 Give your answer as a fraction in its simplest form.
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Answer:

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Step-by-step explanation:

First find the slope of the line. To find the slope of the line, use the slope formula:

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The slope of the line is 2.

Repeat this same process instead with points (1,4) and (6,y). Substitute m = 2.

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So y = 14.

5 0
3 years ago
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