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3 years ago

How do you determine if a pair of lines are parallel? For example, the lines -3x+8y=24 and 3x-8y=7?

1 answer:

7 0

first you put this equation into y=mx+b form then you look at the slope of the equation. if both of the slopes are same then its parallel.

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kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

2 years ago

solniwko [45]

Fifty two thousand fifty two is equal to 52,052.

6 0

3 years ago

Brrunno [24]

D the terms are three times larger because 5 x 3 = 15

4 0

2 years ago

Reil [10]

Just do 6/3 because you have the area and one length, just divide the area by the height you have.

6 0

3 years ago

g100num [7]

X - 5 = 10
+5 = +5 = 15

x = 15

5 0

3 years ago