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quan1579
25.01.2021 •
Mathematics
Select the correct answer.
The speed of a ship is given by 5, where d is the distance the ship travels in 3 hours. If the ship travels 48 miles in 3 hours, what is the
speed of the ship?
A. 12 miles per hour
B. 16 miles per hour
O c. 45 miles per hour
D. 51 miles per hour
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Ответ:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
the line perpendicular to the first line will be: y=(1/5)x+7/5