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Inessa05 [86]
3 years ago
15

What is the slope-intercept form of the equation of the line that contains the points (3, 8) and (6,5) ?

Mathematics
1 answer:
Rashid [163]3 years ago
4 0
The answer is y=-1x +11
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A rectangle has vertices (w,v), (w,z), and (z,z). Find the fourth vertex.
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Answer:

  (z, v)

Step-by-step explanation:

When the sides of the rectangle align with the axes, as here, the coordinates will be all (x, y) combinations from the sets x ∈ {w, z) and y ∈ {v, z}. Three of those combinations are shown. The fourth is (z, v).

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3 years ago
Use the pythagorean theorem to prove that this point lies on the unit circle. Find csc(0) where 0=-120.
exis [7]

By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.

<h3>How to prove this point lies on the unit circle?</h3>

In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 120

Reference angle = 60°.

For the coordinates, we have:

sin(-120) = -sin(60) = -1/2.

cos(-120) = -cos(60) = -√3/2.

By applying Pythagorean theorem, we have:

z² = x² + y²

z = √((-1/2)² + (-√3/2)²)

z = √(1/4 + 3/4)

z = √1

z = 1.

Read more on unit circle here: brainly.com/question/9797740

#SPJ1

4 0
2 years ago
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