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lawyer [7]
3 years ago
7

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap. What is an e

xpression equivalent to 4d - 4?
Mathematics
1 answer:
Musya8 [376]3 years ago
4 0

Answer:

The equivalent expression for 4d-4 is  4(d-1)

Step-by-step explanation:

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.

To get equivalent expression we factor the expression 4d-4

Greatest common factor is 4

Factor out 4 from the expression 4d-4

when we factor out 4, we divide each term by 4

4d-4

4(d-1)

The equivalent expression for 4d-4 is 4(d-1)

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Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

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Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

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Therefore, option D is true.

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3 years ago
(x2 – 3x + 2)/(4x - 16)
Tom [10]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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-5x/6  + 1=7/18
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The solution set is [11/15]

we check it out.
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