15. MP(5,11) S(3,5) M(x,y)
(3+x)/2 = 5 x=7
(5+y)/2 =-11 y=-27
M(7,-27) is the other point
1) add 7 to both sides and get -5....so -5 >x
2) add 7 to both sides.....so get b<-5
3) add 17 to both side...so get z>1
Answer:
Step-by-step explanation:
(35 - 20)/20
15/20 = .75
.75 * 100 == 75%
75%

by using the integration formula
we get,

now put the value of t=\sin\theta in the above equation
we get,

hence proved
Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3