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masha68 [24]
2 years ago
12

A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its​ width, find the dimensions of the

rug.
The length of the rug is __. ____. (options for second blank box are feet, square feet, or cubic feet.
Mathematics
1 answer:
weeeeeb [17]2 years ago
3 0

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

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solong [7]

<u>Given</u>:

Given that the table with values of x and y.

We need to determine the relationship between x and y.

<u>Slope</u>:

The slope of the relation can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (2,11) and (4,9), we get;

m=\frac{9-11}{4-2}

m=\frac{-2}{2}

m=-1

Thus, the slope of the relation is m = -1.

<u>y - intercept:</u>

The y - intercept of the relation is the value of y when x = 0.

Hence, from the table, it is obvious that when x = 0, the value of y is 13.

Thus, the y - intercept of the relation is b = 13.

<u>Relationship between x and y:</u>

The relationship between x and y can be determined using the formula,

y=mx+b

Substituting m = -1 and y =13, we get;

y=-x+13

Thus, the relationship between x and y is y=-x+13

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3 years ago
matt has 492,000 shares of a preferred stock that pays $1.87 a share return. what yearly income can matt expect from his stock
Sergeeva-Olga [200]

The yearly income that matt can expect from his stock is $920,040.

<h3>Stock yearly income to expect:</h3>

Using this formula

Yearly income=Number of shares of preferred stock × Share return

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Share return=$1.87

Let plug in the formula

Yearly income=492,000×$1.87

Yearly income=$920,040

Inconclusion the yearly income that matt can expect from his stock is $920,040.

Learn more about yearly income here:brainly.com/question/8508440

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Answer:

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Step-by-step explanation:

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