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2 years ago

The perimeter of a rectangle is 12x + 4. If the width is 2x, the length of the rectangle is

Mathematics

1 answer:

DENIUS [597]2 years ago

6 0

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

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Step-by-step explanation:

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2 years ago

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93°, 89°, 93°

Step-by-step explanation:

∠1 and ∠4 are supplementary angles:

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2 years ago

Read 2 more answers

The sum of 3 numbers is 131. the second of three numbers is seven more than twice the first. the third number is 12 less than th

arsen [322]

A+b+c = 131

b = 7 + 2a and c = a - 12
so a + 7+2a + a-12 = 131
then 4a -5 = 131
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6 0

2 years ago

Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$

7 0

3 years ago