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OverLord2011 [107]
3 years ago
11

A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg

ebraically determines its width and length
Mathematics
1 answer:
Mkey [24]3 years ago
3 0

Answer:

Length=27feet\\Width=12 feet

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

L=(2W+3) feet\\\\

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\

Using Factorization Method to solve quadratic equation:

2W^2-12W+15W-90=0

Taking common from the equation:

2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet

OR

2W+15=0\\\\2W=-15\\\\W=-7.5 feet

The Width cannot be negative, therefore Width(W)=12 feet

Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet

Length=27feet\\Width=12 feet

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Answer:

y= -2/5 x -4

Step-by-step explanation:

So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:

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There are 4 times as many used cars in the car dealership lot as there as new cars. There are 120 cars total in the dealership l
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Step-by-step explanation:

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7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years?
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Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

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where

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