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3 years ago

Solve the equation 5h +2 -h = 22

Mathematics

2 answers:

astraxan [27]3 years ago

4 0

Answer:

h=5

Step-by-step explanation:

5h +2 -h = 22

4h+2=22

4h=20

h=5

Ne4ueva [31]3 years ago

3 0

Answer:

h = 5

Step-by-step explanation:

Start by subtracting 2 from both sides or subtraction property of equality

5h - h = 20

Combine like terms

4h = 20

Division property of equality or divide 4 from both sides

Your final answer is h = 5

Hope this helps

- Que

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<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

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However, to determine the fencing, we have:

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since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

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From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

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1 year ago

Evaluate b^2 + 5a – 20

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Answer:

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Solve the equation 5h +2 -h = 22​

Solve the equation 5h +2 -h = 22