Answer:
3 hours.
Step-by-step explanation:
Let's say that they both start at a point A. If Bill travels south 45 miles in hour and Landin drives 30 miles north in one hour, after one hour, Bill is going to be 45 miles lower than point A and Landin will be 30 miles above point A, so they will be 45 + 30 = 75 miles apart. After two hours, they will be another 75 miles apart, so they will be a total of 75 + 75 = 150 miles apart. After 3 hours, they will be another 75 miles apart, so they will be a total of 150 + 75 = 225 miles apart.
It will be whichever equation you see that has the "c" = +3, in the format:
F(x) = y = ax^2 + bx + c, where a, b, and c are all integers, such that plugging a "0" into the x's will give:
y = a•0^2 + b•0 + 3 = 0 + 0 + 3 = 3
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
