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7nadin3 [17]
3 years ago
8

The length and breath of a rectangle are (a^2 +ab +b^2) units and (a-b) units.Find the area of the rectangle.

Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

a^3 - b^3.

Step-by-step explanation:

Area = length * breadth

= (a - b)(a^2 + ab + b^2)

= a(a^2 + ab + b^2) - b(a^2 + ab + b^2)

= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3

Note: the 4 middle terms cancel out. So the answer is

a^3 - b^3.

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One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri
seropon [69]

Answer:

  6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

  2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

  x + (2x -10) = 14 . . . . . two sides are half the perimeter

  3x = 24 . . . . . . . . . . . . add 10, collect terms

  x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

  (2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

8 0
3 years ago
Compare 2/8 to 1/2 write to explain you step by step
Softa [21]

Answer:

2/8 is one-half as much as 1/2

Step-by-step explanation:

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2/8 is already okay

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7 0
3 years ago
Give a correct interpretation of a 99% confidence level of 0.328 < μ < 0.486.
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Answer:

D

Step-by-step explanation:

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Upper bound of the population mean is 0.486

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Therefore, the correct interpolation of the confidence interval is that we are 99% confident that the true value of the population mean is between 0.328 and 0.486

5 0
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D is the answer

Step-by-step explanation:

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The sum of the measures of the interior angles of a convex pentagon
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