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geniusboy [140]
4 years ago
7

Factor 28 + 56t + 28w to identify the equivalent expressions. Choose 2 answers

Mathematics
2 answers:
stiv31 [10]4 years ago
6 0

Answer: B and D are the answers

ra1l [238]4 years ago
3 0

Answer:

28+56t+28w=14(2+4t+2w)\\\\28+56t+28w=28(1+2t+w)

Step-by-step explanation:

28+56t+28w=14\times 2+14\times 4t+14\times 2w\\\\14\ is\ common\ in\ every\ term\\\\28+56t+28w=14(2+4t+2w).........................................(1)\\\\Now\ take\ 2+4t+2w\\\\2+4t+2w=2+2\times 2t+2w\\\\2\ is\ common\\\\2+4t+2w=2(1+2t+1)\\\\Now\ substitute\ this\ in\ equation\ 1\\\\28+56t+28w=14\times 2(1+2t+w)\\\\28+56t+28w==28(1+2t+w)

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lorasvet [3.4K]

Answer:

No, the height cannot be 25 feet because the resulting area is inconsistent with the information given.

Step-by-step explanation:

Given that the base of the first floor is 75 feet, we can answer this question in two different ways:

1) Solve for Area using the given height and compare the results to that of the question.

Using the formula for Area:

<em> A = b x h,</em>

<em>A = (75) x (25) = </em><em>1875 </em>

Because the given height results in an area of 1875 feet, and not 1575 feet, the base of this parallelogram cannot be 25 feet.

2) Solve for Height using the given base and Area

Using the formula for Height:

<em>h = A / b,</em>

<em>h = (1575) / (75) = </em><em>21</em><em> ft</em>

The base of this parallelogram could not be 25 feet because when solving for height using the given base and area, the resulting measurement is 21 feet.

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3 years ago
Question 5 (12 points)
Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

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⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

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b)  let (-1, 3) = (x_1,y_1)

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\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}

c)  let (-1, 3) = (x_1,y_1)

    let (3, 3) = (x_2, y_2)

\implies \sqrt{(3+1)^2+(3-3)^2} =4

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3 years ago
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Answer: 33

Step-by-step explanation: The ratio is 4:7, so the number has to be a multiple of 11, and the multiple of 11 between 24 and 40 is 33.

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Step-by-step explanation:

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