Douglas has a segment with endpoints i(5, 2) and j(9, 10) that is divided by a point k such that ik and kj form a 2: 3 ratio. he knows that the distance between the x-coordinates is 4 units. which of the following fractions will let him find the x-coordinate for point k?
2/3, 2/5, 3/2, 3/5

The correct option is 2.

Step-by-step explanation:

It is given that the endpoints of the line segment are I(5, 2) and J(9, 10).

According to the section formula, if a point divide the line segment in m:n, then the coordinates of that point are

The x-coordinate is also written as

The distance between the x-coordinates is 4 units and . So, the  fractions that will let him find the x-coordinate for point K is

The required fraction is 2/5.

The x-coordinate of K is

Therefore the correct option is 2.

correct answer is b. 27/8

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.