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Aleonysh [2.5K]
3 years ago
15

What is the equation of the line that passes through the point (- 1, 5) and is parallel to the line y = - 3x + 5

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

<h2>          y - 5 = -3(x + 1)</h2>

Step-by-step explanation:

Parallel lines has the same slope.

The equation of a line that passing through point (x₁, y₁) with a slope of m is:

y - y₁ = m(x - x₁)

m = -3

(-1, 5)   ⇒  x₁ = -1,  y₁ = 5

Therefore the equation:

y - 5 = -3(x + 1)

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On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
Complete the inequality statement.<br><br> 8 ___ 8<br><br> &gt;<br> &lt;<br> =
murzikaleks [220]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Can anyone help me with this pleaseeee :(
vivado [14]

Answer:

x=65

Step-by-step explanation:

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Add 5 to both sides

x=65

7 0
2 years ago
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