Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

1 answer:

3 0

A.

This is because we start with the slope of 6. This is because it is the slope of the original equation (the number attached to x) and parallel lines have the same slope. Then you can use that along with the point to find the y intercept using slope intercept form (y = mx + b)

y = mx + b
10 = 6(4) + b
10 = 24 + b
-14 = b

So -24 must be the number at the end of the equation, making a the right answer.

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Find the coordinates of a point on a circle with radius 18 corresponding to an angle of 190°

devlian [24]

The coordinates of a point on a circle with radius 18 corresponding to an angle of 190° are (-17.73, -3.13).

What is transforming coordinates?

Polar coordinates (r,θ) are transformed into Cartesian coordinates (x, y) using the formulas x = r cos(θ), and y = r sin(θ).

This problem is under the concept of transforming polar coordinates (r,θ) to cartesian coordinates (x, y).

For this problem the polar coordinates are r = 18 and θ = 190°.

Convert these polar coordinates into a cartesian coordinates as,

x = r cos(θ) = 18 cos(190°) = -17.73

y = r sin(θ) = 18 sin(190°) = -3.13

The coordinates of a point on a circle with radius 18 corresponding to an angle of 190° are (-17.73, -3.13).