Answer:
Y=10x-250
Step-by-step explanation:
We can treat this problem like we are attempting to graph a line from 2 points (hopefully you know how to do that)
the two points are (40,150)(55,300)
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
Answer:
The length of the long side is 147 ft
The length of the short side is 30 ft
Step-by-step explanation:
L=5s-3
s= 324-2L
324=2(5s-3)+s
distribute
324=10s-6+s
simplify
324=11s-6
add 6 to both sides
330=11s
divide by 11
30=s
Plug in the s value to determine the length of the long side
distance = rate * time.
distance is number of miles the car has traveled.
rate = number of miles per hour the car is traveling at.
time = number of hours the car has been driven.
let D = distance.
let T = time.
let R = rate
the general equation is D = R*T
as long as the car will always be driven at 55 miles per hour, you can substitute 55 for R and that becomes your constant.
The equation then becomes D = 55 * T.
example:
you drive 5 hours.
D = 55 * T = 55 * 5 = 275 miles.
If you drive at 55 miles per hour for 5 hours, you will have driven 275 miles.
Hope this helps!
Answer:
wich one
Step-by-step explanation:
