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slamgirl [31]
2 years ago
12

Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per

hour, while the truck heads south at
an average speed of 70 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)
Mathematics
1 answer:
svet-max [94.6K]2 years ago
8 0
I don’t fully understand but you might be able to do something like

70t -30t = d, but I think that would be how much farther they are from the start point, but assuming they are driving in a straight line or would be a right triangle, so maybe The square root of 70t^2 + 30t^2
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Parallel lines will have the same slope

y - y1 = m(x - 1)
slope(m) = 1/4
(5,5)...x1 = 5 and y1 = 5
now we sub
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==================
perpendiculr lines will have a negative reciprocal slope. To find the negative reciprocal, u flip the number and change the sign. So the negative reciprocal of 1/4 is -4....see how I flipped 1/4 and made it 4/1...then changed the sign making it -4/1 or just -4. That will be ur slope of the perpendicular line.

y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <=== ur perpendicular line
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