X= (-7,12)
Y= (7,-9)
The distance between the x points is 14 units
we want a ratio of 3 to 4
for every 3 on one side there are 4 on the other for 7 total
6 to 8 = 14
so 6 on one side 8 on the other
so 6 units on the left starting at -7
-7 + 6 = -1
same with y
12 to -9 is 21 units
3 to 4 = 7
6 to 8 =14
9 to 12 = 21
so 9 unit from the top
12-9 = 3
(-1,3)
Choice A
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
Answer:
see below
Step-by-step explanation:
1. 10/16=5/6
2.14/63=2/9
3.6/14= 3/7
4.6/24= 1/3
5.7/70=1/10
6.5/10=1/2
7. 9/27= 1/3
8.6/72=1/12
9.6/27=1/3
10. 14/35= 2/5
11.12/24= 1/2
12.5/40=1/8
13.36/40=9/10
14.28/35=4/5
Answer:
3+2x
Step-by-step explanation:
Distribute the equation out.
1/4(12+8x)
(1/4*12)+(1/4*8x)
Multiple those out to get a new equation
3+2x
You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x