3 years ago

(2x+1)^2 - (x+3)^2 simplify

Mathematics

1 answer:

Natali [406]3 years ago

6 0

Answer:

Step-by-step explanation:

steps are below

step 1

(2x+1)^2 - (x+3)^2 equation

step 2

4x^2+4x+1+(-x^2)+(-6x)+(-9) distribute

step 3

4x^2+4x+1+(-x^2)+(-6x)+(-9)

(4x^2+-x^2)+(4x+(-6x)+(1+(-9) combine the like terms

3x^2-2x-8

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Answer:

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Step-by-step explanation

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4 years ago

What would be the answer to this equation<br> 5 - x = x + 9

Umnica [9.8K]

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3 years ago

Read 2 more answers

The perimeter of a rectangle is 44 inches. If the width of the rectangle is four more than half the length, find the length of t

Mars2501 [29]

Answer: the length of the rectangle is 12 inches

Step-by-step explanation:

Let the length of the rectangle is x inches

Hence, the width is (x/2)+4 inches

Thus,

$\displaystyle\\2(x+(\frac{x}{2} +4))=44\\\\2x+x+8=44\\\\3x+8=44\\\\3x+8-8=44-8\\\\3x=36\\$

Divide both parts of the equation by 3:

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6 0

1 year ago

Please check my answer for 10+3(x+2)=36. I got x=6 2/3 or 6.66666667. I want to make sure I’m right.

White raven [17]

You are right! 6 2/3 is the answer

Step-by-step explanation:

10+3(x+2)=36

10+3x+6=36

16+3x=36

3x= 20

x=6 2/3

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3 years ago

A ball has a volume of 128 cubic inches. Find the diameter of the ball.

Natalija [7]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\
-----\\
V=128
\end{cases}\implies 128=\cfrac{4\pi r^3}{3}\implies 128(3)=4\pi r^3$

$\bf \cfrac{128(3)}{4\pi }=r^3\implies \sqrt[3]{\cfrac{128(3)}{4\pi }}=r^3\implies \sqrt[3]{\cfrac{96}{\pi }}=r\implies \sqrt[3]{\cfrac{8\cdot 12}{\pi }}=r
\\\\\\
\sqrt[3]{\cfrac{2^3\cdot 12}{\pi }}=r\implies 2\sqrt[3]{\cfrac{12}{\pi }}=r\\\\
-------------------------------\\\\
\textit{and since the diameter is \underline{twice as the radius}}\qquad d=4\sqrt[3]{\cfrac{12}{\pi }}$

7 0

4 years ago