Remember that w<span>hen the ball hits the ground, s(t) = 0
</span><span>So we have: -16t^2 - 32t + 48 = 0 </span>
<span>It's time to determine t = (-(-32) +/- sqrt((-32)^2 - 4(-16)(48))) / (2(-16)) </span>
<span>t = (32 +/- sqrt(1024 + 3072)) / (-32) </span>
<span>t = (32 +/- sqrt(4096)) / (-32) </span>
<span>t = (32 +/- 64) / (-32) </span>
<span>t = (48 or -32) / (-32) </span>
<span>t = -1.5 or 1 </span>
<span>Since a negative number doesn't make sense, so t =1</span>
<span>Keep in mind that velocity is the derivative of the height, therefore: </span>
<span>s'(t) = -32t - 32 </span>
<span>s'(t) = -32*1 - 32 </span>
<span>s'(t) = -32 - 32 </span>
<span>s'(t) = -64 </span>
<span>So the answer 64 feet per second dwn</span>
Answer:
x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
−x=2−3x+6
Step 1: Simplify both sides of the equation.
−x=2−3x+6
−x=2+−3x+6
−x=(−3x)+(2+6)(Combine Like Terms)
−x=−3x+8
−x=−3x+8
Step 2: Add 3x to both sides.
−x+3x=−3x+8+3x
2x=8
Step 3: Divide both sides by 2.
2x/2 = 8/2
x=4
Answer:
sorry i cant understand your pic its so many circle
Answer:
8.25
Step-by-step explanation:
(8x 8) + (2x2) = x ^2
64 + 4 = x2
x = √68
x = 8.25
