1. Caught in another nightmare, Tory is moving along the line y = 3x + 2. At midnight, Tory's position is (1,5), the x-coordinate increasing by 4 units every hour. Write parametric equations that describe Tory's position t hours after midnight. What was Tory's position at 10:15 pm when the nightmare started? Find Tory's speed, in units per hour.

triangle and cube

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

2,160 π

step-by-step explanation: