The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
Answer:
1 - c
2 - A
Step-by-step explanation:
Hey There!
So for the first one we are given the dimensions of a rectangular prism and they want us to find the volume
Remember to find the volume we use the equation
V = length x width x height
so we just plug in the values
v = 2.6 x 2.1 x 3.9 = 21.294
the closest is 20 so C is your answer
For the second one we are given a triangular prism
and they want us to find the volume
b = base (10.3)
l = length (4)
h = height (7)
7x4=28
28x10.3=288.4
then we divide by 2
288.4/2=144.2
so your selected answer is correct
Answer:
g = (x - 2)/3
Step-by-step explanation:
x=3g+2 can be rearranged as:
3g + 2 = x
So, to make g the subject formula 3g must be placed alone
i.e 3g = x - 2
Now, to get the value of g, divide both sides by 3
3g/3 = (x - 2) /3
g = (x - 2)/3
Thus, the value of g is (x - 2)/3
Answer:
16
Step-by-step explanation:
Hope you pass good luck to you!