Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer:
-5x+7y+7
Step-by-step explanation:
3х + 9y - 8x - 2y +7 can be written like the equation below to help solve it
3x-8x+9y-2y+7
=-5x+7y+7
Answer:
(-2,-1); (-2,-4); (0,-1); (0,-3); (-1,-4); (-1,-3)
Step-by-step explanation:
Just reflect it starting at x=-2
Answer:
Step-by-step explanation:
<R=<P=70degrees
<Q=180-70=110 degrees
The answer is (5x - 4y)(2a + b)
10ax + 5bx - 8ay - 4by = 10ax + 5bx - (8ay + 4by) =<span>
= 5x * 2a + 5x * b - (2a * 4y + b * 4y) =
= 5x(2a + b) - 4y(2a + b) =
= (5x - 4y)(2a + b)</span>
