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2 years ago

Students were asked to write a formula for the length of a rectangle by using the formula for its perimeter,p=2L+2w

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

8 0

Answer:

L = (P - 2W) / 2

Step-by-step explanation:

Given:

P = 2L + 2W

Where,

P = perimeter of a rectangle

L = length of the rectangle

W = width of the rectangle

Make L the subject of the formula

P = 2L + 2W

Subtract 2W from both sides

P - 2W = 2L + 2W - 2W

P - 2W = 2L

Divide both sides by 2

(P - 2W) / 2 = 2L / 2

L = (P - 2W) / 2

The answer is L = (P - 2W) / 2

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Through (-1,-3) slope=8

gtnhenbr [62]

Answer:

y=8x+5

Step-by-step explanation:

Please see attached picture for full solution.

I assume that you are trying to find for the equation of the line.

First, substitute the value of the slope given into m in the equation.

Then substitute the coordinates into x and y to find the y-intercept.

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3 years ago

Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A

GuDViN [60]

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

As m=5/8, so the equation of line become

y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

-7 = -5 + c

c= -7 + 5

c= -2

On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

5 0

3 years ago

Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p

OlgaM077 [116]

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

$y=a\cdot (1-r\%)^{t}$

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

$y=a\cdot (1-r\%)^{t}$

$=50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85$

Thus, the correct option is, Exponential Decay, $23,914.85.

5 0

3 years ago

On a scale drawing with a scale of 1/20, the height of the building is 8 inches. How tall is the actual building in feet?

Alecsey [184]

That means its downgraded to 1/20 of actual height, let actual height is x. Then
(1/20) * x = 8, x = 20 * 8 = 160, actual height = 160 inch
160 inch = 160/12 feet = 13 1/3 feet or 13.333 feet.

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3 years ago

a right triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. what is the length of the ot

crimeas [40]

The length of the other leg is 14.4

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4 years ago