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2 years ago

How many square feet of outdoor carpet will we need for this hole

Mathematics

1 answer:

DIA [1.3K]2 years ago

4 0

Answer:

39ft²

Step-by-step explanation:

Divide up the Shape

Big rectangle:

a=lw

11*3=33ft

Small rectangle

2*3=6ft

Whole shape:

33+6=39ft²

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AveGali [126]

The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x \cdot x^{5-3}$

$$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x^{1+2}$

$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

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3 years ago

Use the box method to distribute and simplify (-5x-2)(-2x^2+6x).

Mkey [24]

Answer:

$10x^{3} - 26x^{2} - 12x$

Step-by-step explanation:

1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

$10x^{3} - 30x^{2} + 4x^{2} -12x$

2) Collect like terms.

$10x^{3} + (-30x^{2} +4x^{2} )-12x$

3) Simplify.

$10x^{3} - 26x^{2} -12x$

Therefor, the answer is, 10x^3 - 26x^2 - 12x.

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2 years ago

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Step-by-step explanation:

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Answer: 1 and 4

Step-by-step explanation: just did it

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How many square feet of outdoor carpet will we need for this hole​

How many square feet of outdoor carpet will we need for this hole