Domain: all reals, (-∝, ∝)
All inputs for x result in a solution.
Answer: 102
Step by Step Explanation:
5y+11=8y-13
-8 -8y
-3y+11=-13
-11 -11
<u> 3y </u>=<u> -24</u> = 8 y=8
3y 3y
5(8)+11=51
Multiple 51 times 2 and you're answer will be the following.
R = speed in still water
r + c = speed with current
r - c = speed against current
3.5(r + c) = 70
r + c = 20
c = 20 - r
4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14
An equation for the line of interest is ...
3x -y = 14