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patriot [66]
3 years ago
8

write an equation of the line that passes through (-1,7) and is parrallel to the line whose equation is y=-2x-5

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

See Below

Step-by-step explanation:

Ok, line needs to be parallel. Therefore, it should have the same slope.

y = -2x + b

Plugin the points and solve for y-intercept

(-1,7)

7 = -2(-1) + b

7 = 2 + b

-2   -2

5 = b

Plug it all in

y = -2x +5

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A. Find PR in the diagram <br> b. Find the perimeter of quadrilateral PQRS
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Step-by-step explanation:

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A) to find PR, we will consider the triangle, PRQ.

Using cosine rule

a^2 = b^2 + c^2 - 2abcos A

We are looking for PR

PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70

PR^2 = 64 + 49 - 112 × 0.3420

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PR = √74.696 = 8.64

B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,

We will use the sine rule because only one side,PR is known

For sine rule,

a/sinA = b/sinB

SP/ sin 35 = 8.64/sin110

Cross multiplying

SPsin110 = 8.64sin35

SP = 8.64sin35/sin110

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SR = SP = 5.27

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