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lorasvet [3.4K]
3 years ago
15

(PLEASE HELP/LAST QUESTION)

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

Parallel: y=6x-19

Perpendicular: y=-1/6x-0.5

Step-by-step explanation:

To be parallel to a line, the slope must be the same as the line. Then, you plug 3,-1 into y=6x, and add or subtract to balance the equation. You do the same to find the perpendicular line, but the slope must be the negative reciprocal of the line it is perpendicular to.

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The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte
Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

  • If the given point is (x , y), then the angle lies in the 1st quadrant
  • If the given point is (-x , y), then the angle lies in the 2nd quadrant
  • If the given point is (-x , -y), then the angle lies in the 3rd quadrant
  • If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

   triangle whose horizontal leg is 15 units and vertical leg

   is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = \sqrt{(15)^{2}+(-8)^{2}}=17 units

∵ sinФ = \frac{opposite}{hypotenuse}

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = \frac{-8}{17}

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0
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