Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
Answer:
16 : 14 = 30 : 26.25
Step-by-step explanation:
If rounded:
16 : 14 = 30 : 26
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5) = -5 + 3
= -2
*Have to replace x with -5 and then solve
Answer:
The first one is right
Step-by-step explanation:
Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
The attached figure is the answer. As, the figures are not labeled 1,2,3 or 4 so I have attached the image that is the answer.
