Let 
be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
where 
are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if 
, and we know that this happens after two hours, i.e. at 
Solving this equation for v we have
So, train A is travelling at 105 km/h. This implies that train B travels at
Answer:
245 miles driven.
Step-by-step explanation:
A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars
Let x be the number of miles and y be the number of days
total change =0.17x + 10y
Given total change is 61.65 and number of days = 2
plug in the values and find out the number of miles
61.65 = 0.17 x + 2(10)
61.65 = 0.17 x + 20
subtract 20 on both sides
41.65 = 0.17x
Divide by 0.17 on both sides
x = 245
245 miles driven.
Answer:
26/3
Step-by-step explanation:
First, you need to turn the fractions from mixed form to improper fractions.
3 1/4 x 2 2/3
13/4 x 8/3
13/4 x 8/3
= 26/3
Answer:
BC = 22
Step-by-step explanation:
<b = <c given
we now know it is an isosceles triangle
therefore AC = AB
AC=AB
2x-24 = x-2
subtract x from each side
2x-x-24 = x-2-x
x-24 =-2
add 24 to each side
x-24+24 = -2+24
x = 22
side BC = x
BC = 22
The first space is for the slope, which would be 2. The second is for the y-intercept, which is 110.
So if you fill those in, it would be N=2M+110
