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4 years ago

12

Apply the distributive property to factor out the greatest common factor.

1 answer:

mestny [16]4 years ago

5 0

Answer:

1.

90+27

2.

90 = 9 x 10

3.

27 = 9 x 3

4.

So apply the distributive property would be:

90 + 27 = 9(10 + 3)

That would be it i'm sure glad to help

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5.Simplify each of the following: (i) 7sqrt(2)+5sqrt(8) (ii) 15sqrt(6)-sqrt(216) (iii) 8sqrt(45)-8sqrt(20)+sqrt(245)-3sqrt(125)

emmainna [20.7K]

Answer:

(i) 17 $\sqrt{2}$

(ii) 9 $\sqrt{6}$

(iii) 0

Step-by-step explanation:

(i) 7 $\sqrt{2}$ + 5 $\sqrt{2}$ $\sqrt{4}$ = 7 $\sqrt{2}$ + 10 $\sqrt{2}$ = 17 $\sqrt{2}$

(ii) 15 $\sqrt{6}$ - $\sqrt{216}$ = 15 $\sqrt{6}$ - $\sqrt{36}$ · $\sqrt{6}$ = 9 $\sqrt{6}$

(iii) 8 $\sqrt{45}$ - 8 $\sqrt{20}$ + $\sqrt{245}$ - 3 $\sqrt{125}$ = 8 $\sqrt{9}$ · $\sqrt{5}$ - 8 $\sqrt{4}$ · $\sqrt{5}$ + $\sqrt{49}$ · $\sqrt{5}$ - 3 $\sqrt{25}$ · $\sqrt{5}$ =

24 $\sqrt{5}$ - 16 $\sqrt{5}$ + 7 $\sqrt{5}$ - 15 $\sqrt{5}$ = 8 $\sqrt{5}$ - 8 $\sqrt{5}$ = 0

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3 years ago

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for

Y_Kistochka [10]

Answer:

$37\ albums$

Step-by-step explanation:

Let

x -----> the number of albums Floyd sold last month

we know that

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Last month he earned a total of $644

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The linear equation that represent this problem is

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Solve for x

subtract 200 both sides

$12x=644-200$

$12x=444$

Divide by 12 both sides

$x=37\ albums$

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2 years ago

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nordsb [41]

Hi there!

Let's use the pythagorean theorem to figure this out.

WORK:
${12}^{2} + {9}^{2} = {13}^{2}$
$144 + 81 = 169$
$225 > 169$
The triangle is ACUTE.

Hope this helps!! :)

7 0

3 years ago