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40 POINTS!

Please look at the two small pictures below. Here are the questions.
7. a) Write a multiplication statement to represent the algebra tiles. (picture #1)

b) If the tiles below are divided by 2x, what is the quotient?

40 POINTS! Please look at the two small pictures below. Here are the questions. 7. a-example-1
40 POINTS! Please look at the two small pictures below. Here are the questions. 7. a-example-1
40 POINTS! Please look at the two small pictures below. Here are the questions. 7. a-example-2

2 Answers

4 votes

Answer:

A) 2x(2x - 5)

B) -(3x + 6)

Explanation:

Each empty square represents: x²

Each filled rectangle represents: -x

Area is 4x² - 10x

There are two rows:

Each row is: 2x² - 5x = x(2x - 5)

Statement:

2x(2x - 5)

In b, there are 6 tiles of -x², and 12 tiles of -x, which makes it:

-6x² - 12x

-(6x² + 12x)

-(6x² + 12x)/2x

-[(6x²/2x) + (12x/2x)0

-(3x + 6)

-3x - 6

User Jdex
by
8.2k points
2 votes

Answer:

Part a)
-2x(2x-5)

Part b)
3x+6

Explanation:

Part a)

I first determined what each piece in the rectangular array meant.

Then I wanted to figure out the height and the base length.

I know
-x(x)=-x^2 so that is why I put those purple
x's on top and purple
-x's down alongside for the
-x^2 pieces. To get
x when I already had
-x, I needed to multiply by -1 which is why there is a -1 along the top where those
x pieces are.

So in the first question down the side of the box, we have
-x+-x=-2x/tex]. </p><p>Along the the top we have [tex]x+x-1-1-1-1-1=2x-5.

To find the area of the rectangle, you multiply height by base.


-2x(2x-5).

Part b)We have six
x^2's and twelve
x's. So that means the polynomial represented here is
6x^2+12x.

What happens if we divide that by
2x.

Let's see:


(6x^2+12x)/(2x)


(6x^2)/(2x)+(12x)/(2x)


3x+6

40 POINTS! Please look at the two small pictures below. Here are the questions. 7. a-example-1
40 POINTS! Please look at the two small pictures below. Here are the questions. 7. a-example-2
User Thomas Darimont
by
7.4k points

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