Answer:
-5 + 12 i
Step-by-step explanation:
(2 + 3i)^2 = 4 + 6i + 6i + 9i^2
= 4 + 12 i + 9(-1)
= - 5 + 12 i
Least Common Factor(LCM) of 5 and 7: 35
7*
5=35
5*
7 = 35
Factor of 5 and 7
3/7 + 3/5 = 15/35 + 21/35 = 36/35 =
Answer:
1.5seconds
Step-by-step explanation:
When the ball hits the ground, the height is equal to zero. So find t when H=0:
H=16t²+8t+80
0=16t²+8t+80
0=2t²+t+10
0=(2t-3)(t+2)
So (2t-3)=0, or (t+2)=0
So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds
Answer:
38.60 mph
Step-by-step explanation:
Average speed = total distance / total time
44 mph = (70 mi + 60 mi) / t
t = 2.95 hr
The time spent during the first 70 miles is:
d = rt
70 mi = (50 mph) t
t = 1.4 hr
So the time spent during the last 60 miles is:
t = 2.95 hr − 1.4 hr
t = 1.55 hr
So the average speed during the last 60 miles is:
d = rt
60 mi = r (1.55 hr)
r = 38.60 mph
