6* 8.4
7* 3.5
8* -6
9* 10.899
10* 11.1
11* 2.4
12* 0.06
13* 2.2
14* 15.2
15* 11.7
16* -3.4
explanation: Sorry i couldn’t finish and i hope these are correct! I’m not that good at math but good luck
Answer:
- t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Explanation:
<u>1) Explanation of the model:</u>
- Given: h(t) = -16t² + 48t
- This is a quadratic function, so the height is modeled by a patabola.
- This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.
<u>2) Axis of symmetry:</u>
- The axis of symmetry of a parabola is the vertical line that passes through the vertex.
- In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)
- In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5
<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.
Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Answer:
D
Step-by-step explanation:
Lateral SA = area of the 4 triangles
Formula to be used :-
Area (triangle) = 1/2bh
=> 4 x 1/2 x 9 x 12
=> 108 x 2
=> 216 cm²
Total SA = LSA + area of the square
Formula to be used :-
Area (square) = side length x side length
=> 216 + 9 x 9
=> 216 + 81
=> 297 cm²
<u>The correct option is (D).</u>
In slope intercept form this is equal to y=3/2x+8. If you want it in decimal form it would be y=1.5x+8.
Answer:$52.00
Step-by-step explanation: