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) =
Answer:
The equation is
Let n represent the number
4n + (-2) = 5n + 8
4n - 2 = 5n + 8
Solve for n
Group like terms
4n - 5n = 8 + 2
-1n = 10
n = 10/-1
n = -10
The number is -10
Answer:
Step-by-step explanation:
Diameter of cone = 24 units
Radius of cone (r) = 24/2 = 12 units
Height of cone (h) = 28 units
Answer:
-3.5 meters per second
Step-by-step explanation:
Divide the distance by the time.
-17.5 meters / 5 seconds = -3.5 meters per second