Answer:
x+y=44 and y=x+2
Step-by-step explanation:
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.".
Step-by-step explanation:
One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.
If we add one and other side i.e. 9 cm + 37 cm = 46 cm
If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm
We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.
Thus, the third side could be between 46 cm and 28 cm.
Answer:
-1/2
Step-by-step explanation:
