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hodyreva [135]
2 years ago
15

Rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)

Mathematics
1 answer:
hram777 [196]2 years ago
3 0

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

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The perimeter of an isosceles triangle is 32 inches. If the base is longer than half of the two other equal sides by 2 inches, f
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Answer:

Step-by-step explanation:

Let equal sides of an isosceles triangle = a inches

Base = \frac{1}{2}a+2 inches

Perimeter  = 32 inches

a + a + \frac{1}{2}a+2 = 32

2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\

Subtract 2 from both sides

\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2

a = 12 inches

base = \frac{1}{2}*12+2

        = 6 + 2

Base = 8 inches

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What is the solution to the equation |x − 4| = 17?
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Multiply Conjugates Using the Product of Conjugates Pattern
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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

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  • 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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