Vertex (0,3)
Axis of symmetry x=0
Answer:
0.375
1.4
3
1.66666666667
Step-by-step explanation:
Divide the numerator (top number) by the denominator (bottom).
Answer:
Average speed is 37.35 mi/h
Step-by-step explanation:
given data
leave = 34 minutes before
church distance = 12.0 miles
average speed first 17 minutes = 5.0 mi/h
solution
so we find Total distance travel in first 17 minutes = speed × time
Total distance travel in first 17 minutes = 5 × 
Total distance travel in first 17 minutes = 1.416 mi
and
Distance Remaining = 12 - 1.416 = 10.584 mi
Time Remaining = 34 - 17 min = 17 min
so
remaining distance Average speed = 
Average speed = 
Average speed is 37.35 mi/h
13. if edward wins 6 of his remaining games...that would make a total of 12 wins (since he already won 6 earlier)
3/4 as many winsa as edward....3/4(12) = 36/4 = 9...so he would have to win 9 to have 3/4's as much as edward...and howard has already won 4...so he needs (9 - 4) = 5....he needs 5 wins
=======================
14. Robert has already won 2, and he has lost 8...so he would have to win at least 7 of his games to have more wins then losses
Answer:
The point that divides the directed line segment from J to K into a ratio of 5:1 is (6, 0), its y-coordinate is 0.
Step-by-step explanation:
We take J as point one, with coordinates (x1, y1) = (1, -10) and K as point two with coordinates (x2, y2) = (7, 2)
The "run" is the change in the x-coordinates: x2 - x1 = 7 - 1 = 6
The "rise" is the change in the y-coordinates: y2 - y1 = 2 - (-10) = 12
For the partition ratio, let the numerator = a and the denominator = b.
The coordinates of the point P (x, y), which divides the directed line segment from J to K into a ratio of 5:1 is:
x = x1 + a/(a+b)*run
x = 1 + 5/(5+1)*6
x = 6
y = y1 + a/(a+b)*rise
y = -10 + 5/(5+1)*12
y = 0
