Answer:
12.57
Step-by-step explanation:
hope this helps
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
and the student tickets sold were 2x the adult tickets, we can do
We can replace s in the first equation adding to 243 with 2a
Step 2:
Solve for a. We can divide both sides by 3.
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
And...
So, 81 must be the answer!
Using the formula for the area of a triangle we can solve for the base.
The formula for area of a triangle is : Area = 1/2 x base x height
We are given the area and the height:
33.6 = 1/2 x 4 x base
Multiply both sides by 2 to remove the 1/2:
67.2 = 4 x base
Divide both sides by 4 to solve for the base:
67.2 /4 = 16.8
Check: Area = 1/2 x 4 x 16.8 = 33.6
The base is 16.8 inches.