Answer:
to the shop : 5/8 of an hour
back home : 3/8 of an hour
Step-by-step explanation:
We use the relationship between distance travelled, speed and time given by the formula:
speed = distance / time
We know that the distance from home to the coffee shop is D (same for trip back)
We also know the two speeds in one direction 9 mph and in the other 15 mph
then we can find the times t1 (to the coffee shop) and back (t2) by using the equations:
D = 9 * t1
D = 15 * t2
1 = t1 + t2
We set the two distances equal to have:
9 * t1 = 15 * t2
then t1 = 15 * t2 / 9 = 5 t2 / 3
and use this to substitute for t1 in the last equation:
t1 + t2 = 5 t2/3 + t2 = 1
8 t2 /3 = 1
then t2 = 3/8 of an hour
and therefore t1 must be 1 - t2 = 5/8 of an hour
1/7 = 8/56 they are equivalent
Answer:
y + 8 = 2x + 2
Step-by-step explanation:
Use the points given to find the slope. Divide the difference in y-values by the difference in x-values.
(-1) - (-7) = 6
5 - (-8) = 3
6/3 = 2
The slope is 2.
Now, pick one of the points to put in point-slope form. It doesn't matter which. You will get the right answer either way. I will use (-1, -8).
y - y₁ = m(x - x₁)
y - (-8) = 2(x - (-1))
y + 8 = 2(x + 1)
y + 8 = 2x + 2