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frozen [14]
3 years ago
5

What is the equation of the line that passes through the point (4, -8) and has a slope of 1/2

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

y=1/2x-10

Step-by-step explanation:

y=1/2x+b

-8=1/2(4)+b

-8=2+b

-10=b

y=1/2x-10

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3 years ago
How can I solve this?<br>Please use the simplest format​
IgorLugansk [536]

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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  • adjacent = n

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}

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

Thus,

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Therefore, option D is true.

3 0
3 years ago
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