Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutesafter takeoff is modeled by
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes

Answers

Answer 1

Answer:

The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.

What is a quadratic equation?

A quadratic equation is an equation that contains a variable with highest degree of 2.

Given, the height of the drone t minutes after take off is modeled by

h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)

Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)

Therefore, we can write the equation as:

t² - 4t - 32 = 0

⇒ t²- 8t + 4t - 32 = 0

⇒ t(t - 8) + 4(t - 8) = 0

⇒ (t + 4)(t - 8) = 0

Hence, (t + 4) = 0 and (t - 8) = 0

Therefore, t = -4, 8.

As 't' can't be negative, therefore, t = 8.

Therefore, after take off, the drone will land on the ground after 8 minutes.

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Answer 2

Answer:

h(t) = -3(t-8)(t+4). and 8 minutes

Step-by-step explanation:

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Hello,

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Answers

Each friend will receive 7 pieces of candy after dividing it equally.

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" Division is the method of distributing or sharing any group of items equally."

According to the question,

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Answer:

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Answers

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

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y - coordinate of the point P:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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