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Evgen [1.6K]
4 years ago
11

Write an algebraic expression in standard form for the shaded area of the following shape

Mathematics
1 answer:
Alex Ar [27]4 years ago
3 0

Answer:

x² + 7x + 12

Step-by-step explanation:

The area of a rectangle = length × width

here length = x + 4 and width = x + 3, hence

A = (x + 4)(x + 3)

Each term in the second parenthesis is multiplied by each term in the first parenthesis.

A = x(x + 3) + 4(x + 3) ← distribute each parenthesis

A = x² + 3x + 4x + 12 ← collect like terms

A = x² + 7x + 12 ← in standard form

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Answer:

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Daniel worked for 2 1/3 hours and earned $18.20. How much would he make if he worked for 5 1/4 hours? Enter your answer in the b
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RideAnS [48]

Answer: Choice D

(a-e)/f

=======================================

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

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This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

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