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2 years ago

Volume of a rectangular prism.. PLEASE HELP

Mathematics

1 answer:

kondaur [170]2 years ago

7 0

$\text {Volume = } \dfrac{5}{2x + 8} \times \dfrac{x+4}{4} \times \dfrac{12}{x}$

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Take out (x + 4) as a common factor :
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$\text {Volume = } \dfrac{5}{2(x + 4)} \times \dfrac{x+4}{4} \times \dfrac{12}{x}$

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Cross out (x + 4) :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{1}{4} \times \dfrac{12}{x}$

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Rewrite 12 as 4 x 3 :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{1}{4} \times \dfrac{4 \times 3}{x}$

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Cross out 4 :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{ 3}{x}$

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Combine into single fraction:
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$\text {Volume = } \dfrac{15}{2x}$

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IRISSAK [1]

Y = 3x + b
Now plug in points
-7 = 3(-1) + b
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b = -4
The y intercept is -4

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The soccer field is 105 meters long. The football field is 120 yards long. Which is longer?

ASHA 777 [7]

The football field is longer than soccer field.

<h3>What is a expression? What is a mathematical equation? What is unit conversion?</h3>

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We have a soccer field that is 105 meters long and a football field is 120 yards long.

In one yard, we have -

1 yard = 0.9144 meters

Then, in 120 yards, we will have -

120 x 0.9144 = 109.728 meters

Now, 109.728 meters > 105 meters.

Therefore, the football field is longer than soccer field.

To solve more questions on dimensions and unit conversion, visit the link below -

brainly.com/question/4613077

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8 0

1 year ago

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).

JulijaS [17]

Answer:

g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒ 3[g(x)] + 5 = x + 4

⇒ 3[g(x)] = x + 4 - 5

⇒ 3[g(x)] = x - 1

⇒ g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

5 0

2 years ago