The value of r is -24
Step-by-step explanation:
Given points are:
(1,r) and (5,-4)
Let the points be:
(x1,y1) = (1,r)
(x2,y2) = (5,-4)
m = 5
The slope is given by:

Hence,
The value of r is -24
Keywords: Slope, coordinates
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Answer:
Klorina's rate in still water is 4.5 km/h
Current's rate is 0.5 km/h
Step-by-step explanation:
Let
x km/h = Klorina's rate in still water
y km/h = current's rate
<u>With the current (current helps):</u>
Distance = 10 km
Time = 2 hours
Rate = x + y km/h

<u>Against the current:</u>
Distance = 8 km
Time = 2 hours
Rate = x - y km/h

Divide both equations by 2:

Add these equations:

Subtract these two equations:

Answer:
The constant of variation is 5
Step-by-step explanation:
We know direct variation is of the form
y = kx
We know y =25 and x=5
25 = k*5
Divide each side by 5
25/5 = 5k/5
5 = k
(trying to isolate/get x by itself in the equation)
5(x + 6) = 50 Distributive property [distribute 5 into (x + 6)]
5x + 30 = 50 Subtraction [subtract 30 on both sides of the equation]
5x = 20 Division [divide 5 on both sides]
x = 4
Subtraction then division, the 2nd option