Answer:
13
Step-by-step explanation:
First drop the line.
How many units is it from Point r to the x axis?
12.
How many units is it from Point r to the y axis?
5.
Now we can use the Pythagorean Theorem.

Answer:
0.47 and 11.53
Step-by-step explanation:
h = 60t − 5t²
27 = 60t − 5t²
5t² − 60t + 27 = 0
Quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)
t = (60 ± √3060) / 10
t = 0.47 or 11.53
Answer:
x>50
Step-by-step explanation:
Set up the following equations:


110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:

Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.Plug this value into the second equation:

Add W to both sides:

Subtract 20 from both sides:
The width of the rectangle is 45 feet.