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tia_tia [17]
3 years ago
6

Select the correct answer.

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

D. x^2 + 3x - 88

Step-by-step explanation:

Area of rectangle = length (l) * width (w)

Length of rectangle = (x - 8)

Width = (x + 11)

Area of rectangle = (x - 8)(x + 11)

Expand the expression

x(x + 11) -8(x + 11) (distributive property of multiplication)

x^2 + 11x - 8x - 88

Combine like terms

x^2 + 3x - 88

Expression for the area of the rectangle = x^2 + 3x - 88

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<span>Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
</span><span>Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
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F, or 4th person's age = -32/-1, or 32

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