Answer:
Step-by-step explanation:
The universal set, U is a set of all vehicles produced by the manufacturer.
U = red, blue and green vehicles(both cars and trucks)
B = all red vehicles produced by the manufacturer(both cars and trucks)
C = red, blue and green trucks
C ' = all elements that are not in C but are in the universal set
C ' = red, blue and green cars
B intersection C ' = all elements that are common to set B and set C '. Therefore,
B intersection C ' = red cars
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:

. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:

and simplify to get

. In this process we have created a perfect square binomial on the left, which happens to be

. Now move the -6 back over by addition to get

. The vertex is found at (-2, 6), the third choice down.
Start looking like the standards because y’all starting to look the same
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)