Given the statement "if a line is horizontal, then it has slope equal to zero,” what is its contrapositive? if a line is horizontal, then it has zero slope. if a line has zero slope, then it is a horizontal line. if a line is not horizontal, then it does not have zero slope. if a line does not have zero slope, then it is not a horizontal line.

Contrapositive are the statements in which we switch the hypothesis and the conclusion of the statement and then we take the negation of both.

Here the hypothesis is " A line is horizontal"

And the conclusion is " slope equal to zero"

In order to make the contrapositive statement we switch the hypothesis and conclusion and then take negation.

Therefore, the contrapositive statement is given by

If a line does not have zero slope, then it is not a horizontal line.

Last option is correct.

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!