Answer:
D: 3(x + 5)(x + 5)
Step-by-step explanation:
Try multiplying the last answer choice (D); the result is 3(x^2 + 10x + 25), or
3(x + 5)(x + 5).
The area of a rectangle is A=LW, the area of a square is A=S^2.
W=S-2 and L=2S-3
And we are told that the areas of each figure are the same.
S^2=LW, using L and W found above we have:
S^2=(2S-3)(S-2) perform indicated multiplication on right side
S^2=2S^2-4S-3S+6 combine like terms on right side
S^2=2S^2-7S+6 subtract S^2 from both sides
S^2-7S+6=0 factor:
S^2-S-6S+6=0
S(S-1)-6(S-1)=0
(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:
S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...
W=S-2 and L=2S-3 given that S=6 in
W=4 in and L=9 in
So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.
Answer:
The area of the right triangle is 262.5
Step-by-step explanation:
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Given information
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Area = 3x² + 14x + 8
Length = x + 4
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Formula
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Area = Length x Width
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Find Width
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3x² + 14x + 8 = (x + 4) x width
width = (3x² + 14x + 8) ÷ (x + 4)
width = (x+4)(3x+2) ÷ (x + 4)
width = 3x + 2
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Answer: The width is 3x + 2 (Answer C)
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The value of the expressions (2.5 × 10⁻³) and (7.1 × 10⁶) in scientific notation is 3.5211 × 10⁻¹⁰. Then the correct option is B.
<h3>What is division?</h3>
The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are 2.5 × 10⁻³ and 7.1 × 10⁶.
We have to divide 2.5 × 10⁻³ from 7.1 × 10⁶.
The value of the expressions (2.5 × 10⁻³) and (7.1 × 10⁶) in scientific notation is 3.5211 × 10⁻¹⁰. Then the correct option is B.
More about the division link is given below.
brainly.com/question/369266
