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Finger [1]
3 years ago
10

If an object is dropped from a height of 144 feet, the function gives the height of the object after t seconds. When will the ob

ject hit the ground?
Mathematics
1 answer:
IgorC [24]3 years ago
7 0
A=-32  (acceleration is the constant g)  integrating with respect to t

v=-32t+vi  but initial velocity is equal to zero as it is just "dropped".

h=-32t^2/2+hi, since the initial height is 144 ft

h(t)=-16t^2+144

The object will be at the ground when h(t)=0

-16t^2+144

-16(t^2-9)=0  

-16(t+3)(t-3)=0, but since we know t>0

t=3 seconds.
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Her change was $3.10

Step-by-step explanation:

One small pizza costs $5.95 each. 2 pizzas equal $11.90. $15.00 minus $11.90 equals $3.10.

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3 years ago
Evaluate y^2+7y-8 when y=-3
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Answer:

the answer if the first picture

Step-by-step explanation:

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6 0
3 years ago
The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP
Alekssandra [29.7K]

Answer:

C.    m∠N = 69°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

m∠L + m∠M + m∠N = 180

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111 + m∠N = 180

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4 0
3 years ago
The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
3 years ago
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