So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
Answer:
Step-by-step explanation:
There is no solution as you have two variables and only one equation. The best you can do is solve for one variable as a function of the other.

Answer:
17
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as 
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;

<em>Hence the equation for the nth floor of the tower is expressed as </em>
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b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

<em>Hence the height of the 65th floor is 789feets.</em>
Answer:6
Step-by-step explanation: