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Lapatulllka [165]

3 years ago

11

5.

2 answers:

monitta3 years ago

6 0

At the end of the 3 years it will be

26,212.5

Viktor [21]3 years ago

3 0

Answer:

this is your answer. If I am right so.

please mark me as a brainliest. thanks!!

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Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximu

gregori [183]

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$

$y=-a(x-2)^2+18$

Let us find value of a using point (0,5).

$5=-a(0-2)^2+18$

$5=-a*4+18$

$5-18=-a*4+18-18$

$-13=-4a$

$\frac{-13}{-4}=\frac{-4a}{-4}$

$\frac{13}{4}=a$

Therefore, the equation $y=-(\frac{13}{4})(x-2)^2+18$ can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

$0=-(\frac{13}{4})(x-2)^2+18$

$0-18=-(\frac{13}{4})(x-2)^2+18-18$

$0-18=-(\frac{13}{4})(x-2)^2$

$-18*(\frac{4}{13})=-(x-2)^2$

$\frac{72}{13}=(x-2)^2$

Taking square root of both sides of our equation we will get,

$\sqrt{\frac{72}{13}}=x-2$

$x-2\pm 2.35339$

$x-2=2.35339\text{ (or) } x-2=2.35339$

$x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2$

$x=4.35339\text{ (or) } x=-0.35339$

$x\approx 4.35\text{ (or) } x\approx -0.35$

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.

7 0

3 years ago

Cos(−θ)=√3/4 , sinθ<0 What is the value of sinθ ?

tamaranim1 [39]

Since the length OQ = cos θ is the x-coordinate of P, and PQ = sin θ<span> i</span>

8 0

3 years ago

Read 2 more answers

Pretty pplease help :))

Sunny_sXe [5.5K]

Answer:

Approx. 423.88 feet squared

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I need help ASAP <br> Show your work: x - 8 = 12

choli [55]

Answer:

x = 20

Step-by-step explanation:

x - 8 = 12 Add 8 to both sides

x -8 + 8 = 12 + 8 Add -8 and 8; add 12 and 8

x = 20

6 0

3 years ago

Read 2 more answers

You need to get to class, 200 meters away, and you can only walk in the hallways at about 1.5 m/s. (if you run any faster, you’l

RUDIKE [14]

Answer:

Time = 133.3 secs

Step-by-step explanation:

<u><em>Speed = Distance / Time</em></u>

<em>Rearranging the formula</em>

Time = Distance / Speed

Where D = 200 m , S = 1.5 m/s

Time = 200 / 1.5

Time = 133.3 secs

6 0

4 years ago

Read 2 more answers