The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
<h3>How to model the function?</h3>
Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
Read more about parabolic motion at:
brainly.com/question/1130127
Answer:
Step-by-step explanation:
The 6x^2 because 6 is not a perfect square.
Given that Sara put 7 boxes in her closet.
So number of boxes = 7
Then it says that each box is for holding a different type of seashell. So far, there are 0 shells in each box.
So the number of seashell in 1 box = 0
We need to find about how many shells does Sara have.
To find that we will just multiply (number of boxes) by (number of seashell in 1 box). Which is given by 7 times 0.
we know that product of a number and 0 is always 0.
Hence final answer is 0 seashell.
Answer:
x=25
Step-by-step explanation:
The angles 126 and (5x+1) are equal. The equation that is used is 5x+1=126.
To solve the equation, subtract 1 from both sides
5x+1-1=5x 126-1=125.
Simplify the equation. 5x=125
Divide both sides by 5. 5x/5=x 125/5=25
You would get x=25 eventually.
Answer:
Step-by-step explanation:
(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3
(2^8 ⋅ 3^−5 ⋅ 6^0)^−6
(a^m)^n=a^m*n
So,
(2^8*-6) * (3^−5*-6) * (6^0*-6)
(2^-48) (3^30) (6^0)
a^0=1
So,
(2^-48) (3^30) (1)
<u>(2^-48) (3^30)</u>
I hope this helps you friend!
