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13x−4=−36−27x+12: Distributive property
13x−4=−24−27x: Combine like terms
40x=−20: Addition Property of equality
Answer:
x = 10
Step-by-step explanation:
so first distribute the 3/4 to everything on the inside
3/4x + 1 1/2 = 9
now subtract 1 1/2 on both sides
3/4x = 7 1/2
Now divide both sides by 3/4
x = 7 1/2 divided by 3/4
x = 15/2 divided by 3/4
x = 15/2 times 4/3
x = 5/1 times 2/1
x = 10
Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20
