Answer:
4 seconds.
Step-by-step explanation:
The function f(x)=-10(x)(x-4) ........ (1), represents the approximate height of a projectile launch on the ground into the air as a function of time in seconds x.
Now, we are asked that for how long from the launch does the projectile stays in the air.
Therefore, we have to solve the equation (1) making f(x) as zero.
Hence, 10x(x - 4) = 0
⇒ x = 0 or x = 4
(As x can not be zero since at x = 0 sec, the projectile was at the ground.}
Hence, x = 4 seconds.
Therefore, the projectile was in the air for 4 seconds. (Answer)
<em>a = 30°</em>
<em>b = 70°</em>
<em>c = 80°</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em />
<em>a ; b ; c = angles</em>
<em>a + b + c = 180°</em>
<em>b + c = 5a</em>
<em><u>replace (b + c)</u></em>
<em>a + (b + c) = 180</em>
<em>a + 5a = 180</em>
<em>6a = 180</em>
<em>a = 30°</em>
<em />
<em>b + c = 180 - a</em>
<em>b + c = 150</em>
<em>c = b + 10</em>
<em><u>replace c</u></em>
<em>b + (b + 10) = 150</em>
<em>2b = 150 - 10</em>
<em>2b = 140</em>
<em>b = 70°</em>
<em>c = b + 10</em>
<em>c = 80°</em>
<em>Good luck !</em>
The minimum happens at x = -b/2a
x = -30 / 2(3) = -30/6 = -5
Now replace x in the equation with -5 and solve:
3(-5)^2 + 30(-5) +27 = 75 - 150 + 27 = -48
The minimum is at (-5,-48)
Answer:
-2 ft
Step-by-step explanation:
So first we do 6 + 12, which is 18, then we do 20 - 18 which is -2. If you dont have an answer like -2 then pick 2 if its a selection.
