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ira [324]
3 years ago
11

Please help me! Thanks!

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
Dear

A distance of one international mile or 1 760 international yards or exactly 1609.344 meters travelled in one hour or exactly 3 600 seconds. 1 Mile per hour = 1.60934 kilometers per hour = 0.44704 meters per second (SI base unit). 1 mph = 0.447 04 m/s.

Also,

1 Centimeter per second is equal to 0.01 meters per second (SI unit).

So, car travels 2235.2 cm per second.
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Explanation:
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consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
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If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
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y-y₀=m(x-x₀)
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Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
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y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
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