Answer:
I'm not sure but... here you go
Solutions form when two points intersect. Parallel lines do not intersect. As a mere result, they possess zero solutions.
The two cars will be 105 miles apart in 3.5 hours.
We can determine this by realizing that the net difference in their speed is 30 miles per hour (70mph - 40mph). This means that every hour that passes, car A moves 30 miles away from car B. To determine the final time, we can divide the total goal distance by the rate.
105miles/30mph = 3.5 hours.
Answer:
- y=40(t -7); y=50(t-10)
- t=22; 10 p.m.
- y=600 miles from home
Step-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
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b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
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c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
