4 years ago

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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63

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3 years ago

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The coefficient is 23

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kirill115 [55]

I hope this helps you

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3 years ago

Need help with this question

solniwko [45]

A₁ = -8 This is the first term in an arithmetic sequence.
d = 3, the common difference

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a₇ = -8 + 18
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To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
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