Answer:
im pretty sure its y=1/3x
Step-by-step explanation:
rearrange for y to be subject
its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient
then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0 and your whole equation is y=1/3x
For this case we have the following expression:
Rewriting the expression we have:
Where,
x: exponent to which we must raise the expression to obtain 7 as a result.
We have then:
The exponent must be equal to 1:
Clearing x we have:
Substituting valres:
Answer:
you must raise the expression to 2
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
Answer:
13.2 ft
Step-by-step explanation:
x^2 + 8.2^2 = 15.5^2
x = 13.2 ft
If your asking which one is more it is 17 quarts.
