The y-coordinate of point A is -22
Step-by-step explanation:
Given
B = (24,16)
P = (4,-3)
The formula for mid-point of AB will be given by:

As we already know the y-coordinate of midpoint
We can put the formula's y coordinate equal to the given value

Hence,
The y-coordinate of point A is -22
Keywords: Mid-point, coordinate geometry
Learn more about coordinate geometry at:
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Joe runs one lap around a track in 80 seconds. Joe and Jim meet after 30 seconds.We know how long does it take for Joe to run one lap, so we can calculate what distance he runs in 30 seconds:
He runs half lap for 40 seconds. He runs quarter lap for 20 minutes and he runs 1/8 lap for ten minutes. So for 30 seconds he runs 3 * 1/8 lap=3/8 lap.
Because Jim runs in opposite direction this means that he will meat with Joe at 1-3/8=5/8 lap. So, Jim runs 5/8 lap for 30 seconds.
1/8 lap Jim runs for 30/5=6 seconds, so Jim needs 8*6=48 seconds to run the lap.
After 30 seconds Joe has run e runs
Answer:
637
Step-by-step explanation:
Ticket ending 00= £12 * 7 = £84
Tickets ending 5 = £1.5 * 75 = £112.5
£84+£112.5=£196.5
Price money + Profit: £196.5+£163= 356
356/£0.5 = 719 total tickets sold
719- 82 (WINNING TICKETS) = 637 losing tickets sold
Answer:
(-7,-5)
Step-by-step explanation:
Converting the circle into the form (x-h)^2+(y-k)^2=r^2, we get
x^2+14x+49+y^2+10y+25=7+25+49
So we get
(X+7)^2+(y+5)^2=81
So the center of the circle is (-7,-5)