Answer:
t = 2.61
Step-by-step explanation:
h (t) = (1/2) x (- 9.8) x t ^ 2 + 12 x t + 2
h (t) = -4.9 x t ^ 2 + 12 x t + 2 (rewritten)
When the ball hits the ground:
-4.9 x t ^ 2 + 12 x t + 2 = 0
Solved:
t1 = -0.16
t2 = 2.61
The negative is irrelevant here. Hence: 2.61.
we could look at the picture with a bit less lines, check the picture below.
that simply means that those two blue angles are linear angles and therefore add up to 180°.
![\bf (x^2-6x+83)+(106)=180\implies x^2-6x+189=180 \\\\\\ x^2-6x+9=0~~~~ \begin{cases} (-3)(-3)=\stackrel{constant}{9}\\[0.8em] -3-3=\stackrel{\stackrel{\textit{middle~term}}{coefficient}}{-6} \end{cases}\implies (x-3)(x-3)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=3~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%28x%5E2-6x%2B83%29%2B%28106%29%3D180%5Cimplies%20x%5E2-6x%2B189%3D180%20%5C%5C%5C%5C%5C%5C%20x%5E2-6x%2B9%3D0~~~~%20%5Cbegin%7Bcases%7D%20%28-3%29%28-3%29%3D%5Cstackrel%7Bconstant%7D%7B9%7D%5C%5C%5B0.8em%5D%20-3-3%3D%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bmiddle~term%7D%7D%7Bcoefficient%7D%7D%7B-6%7D%20%5Cend%7Bcases%7D%5Cimplies%20%28x-3%29%28x-3%29%3D0%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20x%3D3~%5Chfill)
Answer: 0.4x + 0.1
Step-by-step explanation: Distribution.
0.5(x+0.1)-0.1(x-0.5)
0.5 times x = 0.5x
0.5 times 0.1 = 0.05
First step: 0.5x + 0.05
Distribute next part
-0.1 times x= -0.1x
-0.1 times -0.5 = 0.05
-0.1x + 0.05
Put together: 0.5x + 0.05 -0.1x + 0.05
Combine like terms:
0.5x -0.1x = 0.4x
0.05 + 0.05 = .1
Answer: 0.4x + 0.1
The right answer is 49
147 / 3
