3 years ago

Describe two ways to fnd the surface area of a rectangular prism.

Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Answer:

1. Through an equation that uses lateral area

2. Through finding the area of each side and taking the sum of all the faces

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Keisha sold hats and shirts at a festival. She made $36 from selling hats. She also sold x shirts and made $9 for each shirt. Sh

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Answer:

36+9x=99

x=7

Step-by-step explanation:

36+9x=99

Subtract 99 and 36:

9x=63

Divide:

x=7

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2 years ago

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Step-by-step explanation:

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A. and C.

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1 year ago

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Alenkasestr [34]

14 + 5(x+3)-7
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2 years ago

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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