All parabolas must have two, but they can either have 2 real solutions, 1 real solutions, or none. A real solution is where it crosses the x axis. If it touches the axis, it is a double zero, there is 1 real solution, and it is the same number. 2 solutions will have it cross the x axis twice, and no solutions means that the root is an imaginary number
- 3 (- 2 + 9v) = (-3)·(-2) + (-3)·(9v) = 6 - 27v
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Answer:
A)
B)
Step-by-step explanation:
AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB
A) Therefore, AP = 2QB
QB = AP/2
The midpoint of QB = QB/2 = (AP/2)/2 = AP/4
AP = 2PQ, Therefore PQ = AP/2
Since the length of AB = a
AB = AP + PQ + QB = a
AP + AP/2 + AP/2 = a
AP + AP = a
2AP = a
AP = a/2
The distance between point A and the midpoint of segment QB = AP + PQ + QB/2 = AP + AP/2 + AP/4 = 7/4(AP)
But AP = a/2
Therefore The distance between point A and the midpoint of segment QB = 7/4(a/2)=
B)
the distance between the midpoints of segments AP and QB = AP/2 + PQ + QB/2 = AP/2 + AP/2 + AP/4 = 5/4(AP)
But AP = a/2
Therefore the distance between the midpoints of segments AP and QB = 5/4(AP) =
divide the annual rate by four because there are four quarters in a year