Let x be rate of boat in still water
let y be rate of current
we use this equation to relate quantities:
distance = speed · time
we have two unknowns so we might need to create a system of equationss
upstream:
speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)
time = 3 hours
distance = 144 km
downstream:
speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)
time = 2 hours
distance = 144 km (same distance upstream and downstream)
using distance = speed times time
for upstream
144 = 3(x-y)
144 = 3x - 3y
for downstream
144 = 2(x+y)
72 = x + y
system of eqns:
144 = 3x - 3y
72 = x + y
solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x
144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h
Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h
rate of boat in still water is 60 km/h
rate of the current is 12 km/h
<span>If you want to convert 15.1 into a fraction, you can do it like this:
15 <span>equals to 15</span>/1 <span>and </span>0.1 <span>equals to 1</span>/10
<span>The result is 15</span> 1/10.
If you want to make it a pure fraction, you have
to make one additional step:
<span>because you want to add 15/1 and 1/10, you
have to get the same denominators, so 15/1 changes to 150</span>/10.
<span>Now, you can add </span>150/10 and 1/10<span>.
The result is </span>151/10<span>.
</span></span>
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Answer:
- 1/3
Step-by-step explanation:
First you find the slope of the line.
2-(-4) 6
——— = — = 3
2-0 2
To find the slope of the line that is perpendicular to that line, you take the opposite reciprocal of the slope.
-1/3
Given:
A straight-line graph has gradient 4 and crosses the y axis at (0, −3).
To find:
The equation of the given graph.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope of the line and b is the y-intercept.
A straight-line graph has gradient 4. It means the slope of the line is 4.
Line crosses the y axis at (0, −3). So, y-intercept is -3.
Putting m=4 and b=-3 in (i), we get
Therefore, the equation of the given line graph is .
