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Ann [662]
3 years ago
6

Use the distriputive property to rewrite the expression. 11 (4d+6)

Mathematics
2 answers:
amm18123 years ago
8 0

Essentially 11(4d + 6) = 11*4d + 6*11

44d + 66

DanielleElmas [232]3 years ago
8 0

11(4d + 6)

Distribute (multiply) 11 inside the parentheses.

(11 * 4d) + (11 * 6)

44d + 66 is your answer.

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Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
maw [93]

You can simply expand each product and see whether it gives you a difference of squares.


•  \mathsf{(-7x+4)\cdot (-7x+4)}

That's actually  \mathsf{(-7x+4)^2:}

     \mathsf{(-7x+4)^2}\\\\ \mathsf{=(-7x+4)\cdot (-7x+4)}\\\\ \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-28x+16}

     \mathsf{=49x^2-56x+16}        <span>✖

which is not a difference of squares.

</span>————<span>—

</span>•  \mathsf{(-7x+4)\cdot (4-7x)}

     \mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\\\\ \mathsf{=-28x+16-(-49x^2+28x)}\\\\ \mathsf{=-28x+16+49x^2-28x}

     \mathsf{=49x^2-56x+16}        ✖

which is not a difference of squares.

—————

•  \mathsf{(-7x+4)\cdot (-7x-4)}

     \mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-(-28x+16)}\\\\ \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\\\\ \mathsf{=49x^2-16}

     \mathsf{=(7x)^2-4^2}        <span>✔

That is a difference of two squares.

</span>————<span>—

</span>•  \mathsf{(-7x+4)\cdot (7x-4)}

     \mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\\\\ \mathsf{=-49x^2+28x-(-28x+16)}\\\\ \mathsf{=-49x^2+28x+28x-16}

     \mathsf{=-49x^2+56x-16}        <span>✖

</span>which is not a difference of squares.

—————

Only the  third option  will result in a difference of squares.


Answer:  (− 7x + 4) · (− 7x − 4).


I hope this helps. =)

8 0
3 years ago
Read 2 more answers
Martina is currently 16 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. Use this information to
marishachu [46]
<span>m = j + 16
m + 5 = 3j
---
put the system of linear equations into standard form
---
m - j = 16
m - 3j = -5
---
x - y = 16
x - 3y = -5

so now that you have your equations formed, just solve. 

x - y = 16 , which means that x = y + 16 
substitute for x in the second equation : 
 
Hope this helps

</span>
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Answer:

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Step-by-step explanation:

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