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3 years ago

What are the Cartesian coordinates of a point with polar coordinates (17, 60 degrees)?

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

C. (8.5, 14.72)

Step-by-step explanation:

You can translate the coordinates using ...

(x, y) = (r·cos(θ), r·sin(θ))

Filling in the given polar coordinates, (r, θ) = (17, 60°), we have ...

(x, y) = (17·cos(60°), 17·sin(60°)

(x, y) = (8.5, 14.72)

If you sketch the vector, you realize that the short side of the triangle (the x-coordinate) is half the length of the hypotenuse (17). This is because you recognize the side-length relationships in a 30°-60°-90° triangle. Only one answer choice shows that value.

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What is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)

lozanna [386]

Answer:

y=-1/4x+5

Step-by-step explanation:

perpendicular lines have slopes that multiply to -1.

Our given line:

y=4x-5

the slope (m) in it is 4. To find the slope of the perpendicular line:

4m=-1

divide by 4

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here's our equation so far:

y=-1/4x+b

Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)

so substitute (-4,6) into the equation

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so our equation is:

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hope this helps! :D

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3 years ago

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Answer:

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The first option:

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3 years ago

If f(x)=2(3x-5) when f(x) =74,what is the value of x??

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Answer:

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