Answer:
3 seconds.
Step-by-step explanation:
Since we are figuring out when the water balloon will hit the ground, y will need to be equal to 0.
0 = - 16t² - 16t + 96
Now we simply factor the trinomial to find t.
0 = -16(t² - t - 6)
0 = (t - 3)(t + 2)
t - 3 = 0 ⇒ t = 3
t + 2 = 0 ⇒ t = -2
Since we are referring to time, we need to use the positive value. Therefore, the water balloon will take 3 seconds to hit the ground.
-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.
-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.
-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends.
So the value of 'x' must satisfy these conditions:
<em>0 < x < 15</em>
<em>15 < x < 25</em>
<em>25 < x < 40</em>
Any number that satisfies these conditions is an acceptable value for 'x'.
Step-by-step explanation:
is similar to
so we can write the ratio

Solving for x, we get

Just do 7 x 5 = 35.............