Answer:
Absolute value equation: |x - 13| = 5
Step-by-step explanation:
The midpoint between 8 and 18 is;
(8 + 18)/2 = 26/2 = 13
This means that the distance between 13 and either 8 or 18 will be 5.
Now, the absolute value equation will have to say that the distance between x and 13 is 5.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation: |x - 13| = 5
Answer:
12700 feet
Step-by-step explanation:
Do 5/8 of 20,320
Do 20320 divided by 8 which is 2540
Do 2540 times 5 which is 12700
Using elimination method to find y
3x - 4y = -15 (multiply 4)
4x + 3y = 5 (multiply 3)
------------------------------------
12x - 16y = -60
12x + 9y = 15
--------------------- - (substract)
-25y = -75
y = 3
Using subtitution method to find x
3x - 4y = -15
3x - 4(3) = -15
3x - 12 = -15
3x = -3
x = -1
The solution (-1,3)
We are to find how long will it take to return to the ground?
Answer:
t = 0.48 sec
Step-by-step explanation:
We are given;
initial velocity; vi = 40 ft/s
hi = 70 ft
acceleration due to gravity; a = 32 ft/s²
Now, we are given that the rocket's height as a function of time is;
h = -12at² + vit + hi
At ground, h = 0
Plugging in the relevant values to obtain ;
0 = -12(32)t² + 40t + 70
-384t² + 40t + 70 = 0
The roots of the equation gives; t = 0.48 sec
