Which point on the x-axis lies on the line that passes through point c and is parallel to line ab?
a (1,0)
b (1,1)
c (0,2)
d (2.0)

Step-by-step explanation:

Parallel lines have the same slope.

The formula of a slope:

We have the points A(-4, 0) and B(2, -3). Substitute:

C(-2, 2).

The point on the x-axis D(x , 0).

The slope:

Put the value of the slope:

          change the signs

          cross multiply

           subtract 2 from both sides

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!