The speed of the faster cyclist will be 30 miles/hour.
<em><u>Explanation</u></em>
One cyclist is 3 times as fast as the other.
Lets assume that the speed of the slower cyclist is
miles/hour.
So, the <u>speed of the faster cyclist</u> will be:
miles/hour.
They start riding toward each other at the same time and meet 2 hours later.
We know that, 
So, the <u>distance traveled by slower cyclist</u> in 2 hours
miles and the <u>distance traveled by faster cyclist</u>
miles.
Given that, they were 80 miles apart at the starting. So, the equation will be.....

So, the speed of the faster cyclist will be: (3×10)= 30 miles/hour.
20
75=3/4
So 20/4=5
5 is 1/4 of 20 therefore 15 is 3/4 of 20 because 5x3=15.
Answer:
See explanation
Step-by-step explanation:
The given complex number are:

and

When we rewrite
in complex form, we obtain;

where

and


Hence,


Hence

Step-by-step explanation:
We want to graph:

We first graph the parent function

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.
We then shift the graph of the parent function 3 units right, to obtain the graph of

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.
See attachment.