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3 years ago

What point divides the directed line segment AB into a 2:3 ratio?

Mathematics

2 answers:

loris [4]3 years ago

5 0

<span>segment AB into a 2:3 will divide at (8,1)

answer
</span><span>(8, 1)</span>

Mashcka [7]3 years ago

3 0

AB is 10 units long, so a ratio of 2:3 translates to 4:6 in units.

4 units ahead of A is 4+4 = 8

The answer is (8, 1)

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The average speed is equal to the ratio between the total distance ( $d_{tot}$ and the total time taken ( $t_{tot}$ ):

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the distance travelled by the trucker in the first 3 hour can be written as the time multiplied by the velocity:

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Since we know the value of the average speed, $v=57.14 mph$ , we can substitute it into the previous equation to find the value of $t_2$ , the time the trucker drove in the city:

$v=\frac{200 mi}{3h +t_2}\\3h+t_2 = \frac{200 mi}{v}\\t_2 = \frac{200 mi}{v}-3h=\frac{200 mi}{57.14 mph}-3 h=0.50 h$

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