The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.

When will the obj reach its maximum height ?
What is the max height?
After how many seconds will it hit the ground?

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

Answer 6-7 thanks!!!!

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The question:

3. Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

The answer:

Student A is Wrong and student B is correct!



The work of the students:

You are given line AB and point C. Construct a line parallel to line AB that passes through point C.



Student A Steps:

Draw a line that intersects points B and C.

Draw a line through point C and point G.

Keep the compass at the same width, and place it on point C.

Keeping the compass at the same width, place it on point F.

Mark the intersection of the two arcs as point G.

Open the compass to the width between points D and E.

Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.

Swing an arc that crosses line BC, and label the point F.

Swing an arc that intersects the arc created from line BC at point C.


Student B steps:

Draw a line that intersects points B and C.

Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.

Keep the compass at the same width, and place it on point C.

Swing an arc that crosses line BC, and label the point F.

Open the compass to the width between points D and E.

Keeping the compass at the same width, place it on point F.

Swing an arc that intersects the arc created from line BC at point C.

Mark the intersection of the two arcs as point G.

Draw a line through point C and point G.

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Name:
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