Answer:
![(x+5)^{2} = 9](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%20%3D%209)
Step-by-step explanation:
To complete the square you need to add
to both sides. (Parenthesis around b/2)
b = 10
b/2 = 5
(b/2)^2 = 25
+10x + 16 = 0
subtract 16 to both sides
+ 10x = -16
add 25 to both sides
+10x + 25 = 9
Perfect Square Trinomial Factoring
= 9
Answer:
The maximum amount of time that the ballroom can be rented is 3.4 h.
Step-by-step explanation:
In order to find the maximum amount of time the ballroom can be rented we can create an inequality in such a way that the cost must be less or equal to $80.58, which is the amount of money that is available. So we have:
c = 23.7*h
80.58 >= 23.7*h
23.7*h =< 80.58
h =< 80.58 / 23.7
h =< 3.4 h
The maximum amount of time that the ballroom can be rented is 3.4 h.
Answer:
The sine and cosine are complementary functions.
Step-by-step explanation:
In a right angle triangle, the two angle angle are complementary.
This means they add up to 90 degrees.
One special property of the right angle triangle is that, the sine of angle is equal to the cosine of its complement.
On the unit circle we can also create a special right angle triangle with its hypotenuse being one unit.
The complementary property still applies to this right angle triangle.