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1 year ago

Consider the following "generic rectangle" where the area of each region is given. Write equivalent

Mathematics

1 answer:

marta [7]1 year ago

8 0

Answer:

sum: 3x² -4x -4
product: (x -2)(3x +2)

Step-by-step explanation:

The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.

The total of the given area expressions is ...

3x² +2x -6x -4 = 3x² -4x -4 . . . . sum

<h3>Product</h3>

Extending the table to show common factors of each row and column, we have ...

$\begin{array}{c|c|c|}&3x&2\\\cline{1-3}x&3x^2&2x\\\cline{1-3}-2&-6x&-4\\\cline{1-3}\end{array}$

Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...

(x -2)(3x +2) . . . . product

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2 years ago

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Hey.

I hope that you're familiar with P.E.M.D.A.S :)

applying PEMDAS :

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3 years ago

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What is the answer 2(4y+1)=3y

SCORPION-xisa [38]

2(4y+1) = 3y. We need to solve for y.
First let's get ride of the parenthesis by developing 2(4y+1). This means to multiply 2 by 4y and 2 by 1, and add them.
2(4y+1) = 2*4y + 2*1 = 8y + 2
So 2(4y+1)=3y
8y+2 = 3y
Then you subtract 8y from each side to have the variables on a side and the numbers on the other:
3y - 8y = 8y + 2 - 8y
-5y = 2
Then you divide each side by -5 to get the variable y alone on a side and its value on the other:
(-5y)/-5 = 2/-5
y = -2/5

You can re-check your answer (very important):
2(4y + 1) = 2(4*-2/5 + 1) = -1.2
3y = 3 * -2/5 = -1.2
So 2(4y+1)=3y= -1.2
The answer has been approved.

Hope this Helps! :)

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3 years ago