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Sliva [168]
2 years ago
15

Multiply Conjugates Using the Product of Conjugates Pattern

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

The product is the difference of squares is $$\left(xy-9\right)\left(xy+9\right)={{x}^2}{{y}^2}-81$$

Step-by-step explanation:

Explanation

  • The given expression is (x y-9)(x y+9).
  • We have to multiply the given expression.
  • Square the first term xy. Square the last term 9 .

$$\begin{aligned}&(x y-9)(x y+9)=(x y)^{2}-(9)^{2} \\&(x y-9)(x y+9)=x^{2} y^{2}-81\end{aligned}$$

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3 years ago
Solve each system by elimination.
meriva

Answer:

4.)

a. x=  <u>-6</u> y-3

               5

b. x= <u>5</u> y + <u>13</u>

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3.)

a. x= <u>-4y</u> + <u>-8</u>

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b. x=<u> 3</u> y+3

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Step-by-step explanation:

4.)  

a. 5x+6y=-15

Add -6y to both sides.

5x+6y+−6y=−15+−6y

5x=−6y−15

Divide both sides by 5.

5x ÷ 5= -6y-15 ÷5      

x=  <u>-6</u> y-3

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b. 4x - 5y=13

Add 5y to both sides

4x−5y+5y=13+5y

4x=5y+13

Divide both sides by 4

4x÷4= 5y+13÷4

x= <u>5</u> y + <u>13</u>

    4        4

5.)

a.  (5x+4y=-8)

Add -4y to both sides

5x+4y+−4y=−8+−4y

5x=−4y−8

Divide both sides by 5

5x÷5= -4y-8÷5

x= <u>-4y</u> + <u>-8</u>

     5       5

b. 2x - 3y = 6

Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Divide both sides by 2.

2x÷2= 3y+6÷2

x=<u> 3y</u>+3

    2

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Answer:

Hey there!

Angela will have 7+2, or 9 cups of rice.

Let me know if this helps :)

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