Car is moving on a circle on a plane. at time t (seconds), its x-coordinate is given by x(t) = 10 sin(200t + 3) + 30 while its y-coordinate is given by y(t) = 10 cos(200t + 3) + 40. what is the center and radius?

we have centre of circle as (30,40) and radius = 1

Step-by-step explanation:

Given that a car is moving on a circle on a plane.

At time t (seconds),

and

when we square and add both the equations we get

(since sin square + cos square = 1 always)

i.e. we have centre of circle as (30,40) and radius = 1

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

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step-by-step explanation: