Answer:
Chantal and Trisha will have both traveled 105 miles in 20 minutes.
Step-by-step explanation:
is distance in miles,
is time in hours.
The two equations are:
![y = \frac{20}{x} + 45](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B20%7D%7Bx%7D%20%2B%2045)
![y = \frac{35}{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B35%7D%7Bx%7D)
Set them equal to each other and solve for x:
![\frac{35}{x} = \frac{20}{x} + 45](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7Bx%7D%20%3D%20%5Cfrac%7B20%7D%7Bx%7D%20%2B%2045)
![\frac{35}{x} - \frac{20}{x} = 45](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7Bx%7D%20-%20%5Cfrac%7B20%7D%7Bx%7D%20%3D%2045)
![\frac{35-20}{x} = 45](https://tex.z-dn.net/?f=%5Cfrac%7B35-20%7D%7Bx%7D%20%3D%2045)
![\frac{15}{x} = 45](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bx%7D%20%3D%2045)
![x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15%7D%7B45%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20hours%20%3D%2020%20minutes)
Plug that back into the equations to confirm this
gives the same
:
![y = \frac{20}{1/3} + 45 = 105 miles](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B20%7D%7B1%2F3%7D%20%2B%2045%20%3D%20105%20miles)
![y = \frac{35}{1/3} = 105 miles](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B35%7D%7B1%2F3%7D%20%3D%20105%20miles)
Answer:
b
Step-by-step explanation:
just took test
Answer:
(–6, 10)
Step-by-step explanation:
Because the line is perpendicular its slope is the negative reciprocal of line FG. If we examine the graph and plot out the slope we see that it crosses point (–6, 10).
Answer:
R>0
Step-by-step explanation:
I cant tell what R lQl and lRl = lql is
But r will equal q and if q is a positive number it will be more then zero if q is negative then it will be less then zero
Midpoint is (x2+x1) /2 , y2+y1 /2)
(7-1 /2, 3+2 /2)
=(3,5/2)