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3 years ago

What is the equation of the line that is perpendicular to y = 2x – 4 and has a y-intercept of –2?

1 answer:

3 0

Hi there!

The equation of a line perpendicular to another line always has an opposite and reciprocal slope. For this equation here, the opposite and reciprocal slope of 2x is -1/2x. This is because 2 becomes negative (-2) and it is flipped from the numerator (-1/2). So, our equation so far is y = -1/2x + b. B represents the y-intercept. And since we already know the y-intercept, all we have to do is plug it in!
Here is our finished equation: y = -1/2x - 2.

Hope this helps!! :)

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Determine the following angle measures.<br> mZM=<br> mXL =

fomenos

Angle measures are ∠M = 90° and ∠L = 24°

Step-by-step explanation:

Step 1: In the figure, LM is a tangent to the circle N at point M.

Tangents create right angles at the point of contact with a circle.

So ∠M = 90°

Step 2: Sum of angles in a triangle is equal to 180°

⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)

= 180° - 156° = 24°

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3 years ago

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kiruha [24]

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3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a

nikitadnepr [17]

Answer:

192.92 ft^3

Step-by-step explanation:

volume of a cone = $\frac{1}{3}$ πr²h

π = 3.14

r = radius ]

h = height

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shepuryov [24]

Answer:

Step-by-step explanation:

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3 years ago