For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:

Rewriting the expression we have:

Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer:
Answer:
See the graph attached. The red arrow represents the shaded area.
Explanation:
The inequality and its solution are given:
The solution set is all real numbers less than or equal to -50.
In a number line, the values less than -50 are all the values that are to the left of -50. Thus, the graph of a ≤ -50 must include -50 and the region to the left of it.
To indicate that - 50 is included, draw a solid point; then, shade the region since it to its left.
Please, see the graph attached. The red arrow represents the shaded area.
Step-by-step explanation:
I think it’s 180 sorry if it’s wrong
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!