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3 years ago

8

What is the slope between the points 3,-3 and 12,-2?

1 answer:

kykrilka [37]3 years ago

8 0

Answer:3.33

Step-by-step explanation:

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Furkat [3]

Can you retype whatever you’re asking in this please?

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3 years ago

Linh buys two T-shirts for $12 each, a pair of shoes for $28, and a pair of jeans for $45. She has a coupon for 30 percent off h

Darina [25.2K]

12x2= $24
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konstantin123 [22]

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0.56

Step-by-step explanation:

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MatroZZZ [7]

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4 years ago

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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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3 years ago