The slope of a point is

so


having the slope equal zero just means that there is no change in the y values
which means that they are on the same horizontal line which they are at y=7
The answer is 14ft because the two triangles are congruent (that means the same) so 7+7 is equals 14
The mode is 12.
The mode is the value that appears most frequently in a data set.
Check the picture below, it hits the ground when y = 0.
Use exp/log functions to rewrite y as

One of the properties of logarithms lets us bring down the exponent, so

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

Simplify:
