"A construction company is stringing up signs ... "
Divide 4 miles by 1/8 mile:
4 miles
--------------------------- = 32 signs are needed
(1/8) mile per sign
Answer:
what don't you understand
"31-inch piece of steel is cut into three pieces"
Call the pieces a,b,c
a + b + c = 31
"second piece is twice as long as the first piece"
b = 2a
"third piece is one inch more than seven times the length of the first piece"
c = 1 + 7a
Ok, we have our equations, let's substitute the second and third into the first.
a + 2a + 1 + 7a = 31
10a + 1 = 31
10a = 30
a = 30/10 = 3
b = 2a = 6
c = 1 + 7a = 22
Check: 3 + 6 + 22 = 31, good
Answer: 3 inches, 6 inches, 22 inches
The algebra tiles show two equal factors. They are (x + 4).
Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).
That is (x + 4)^2.
Then develop that perfect square to find the constant term.
(x + 4)^2 = x^2 + 8x + 16.
That means that the constant term needed to complete the trinomial is 16.
Answer: 16
