Find a point K on the segment with endpoints F(-8, 10) and G(8, -2) that partitions the segment, starting at point F 3/4 of the way to point G

Given:

The endpoints of a line segment are F(-8, 10) and G(8, -2).

Point K partitions the segment, starting at point F of the way to point G.

To find:

The coordinates of point K.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are

According to the given information,

Now,

It means point K divides the segment in 3:1.

Using the section formula, we get

Therefore, the coordinates of the point K are (4,1).

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!