Answer:
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Step-by-step explanation:
Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:
x + y = 18
x = 5y
Solve by substitution by substituting 5y as x into the first equation:
x + y = 18
5y + y = 18
Solve for y:
6y = 18
y = 3
So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:
3(5)
= 15
So, the longer piece is 15 feet long.
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Answer:
(-6, 4)
Step-by-step explanation:
Given the coordinate points (-3,1). If The point (-3,1) is moved 3 places in the negative y direction and 2 places in the positive x direction the required coordinate will be expressed ss;
X' = (-3-3, 1+3)
X = (-6, 4)
Hence the resulting coordinate will be at:(-6, 4)
Answer:
The simplified expression is 
Step-by-step explanation:
The given expression is:

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

Divide both the numerator and the denominator by 12b:

The expression finally becomes:

Answer:
6x-12
Step-by-step explanation:
hope this helps