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Kitty [74]
3 years ago
6

Algebra help needed

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

0=-8(2 t-4)(t+1)

t=-1,2

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

h=-8(2 t-4)(t+1),

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

h=-8(2 t-4)(t+1)

\Rightarrow 0=-8(2 t-4)(t+1)

Solve the equation using the Zero Product Property.

2t-4=0\Rightarrow t=\dfrac{4}{2}=2

t+1=0\Rightarrow t=-1

So, t=-1,2

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Answer:

The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Step-by-step explanation:

Given as :

The three line equation is

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Now, The standard equation of line is

y = m x + c

where m is the slope of line

And c is the y intercept

So, From Line 1

2 y = 5 x + 6

or , y =  \frac{5}{2} x + \frac{6}{2}

I.e y =  \frac{5}{2} x + 3

So,  slope of this line = m_1 =  \frac{5}{2}

Again , From Line 2

y = \frac{2}{5} x - 1

So, slope of this line =  m_2 =  \frac{2}{5}

Similarly , From Line 3

10 x + 4 y = - 6

I.e 4 y = - 6 - 10 x

or, y = - \frac{6}{4} -  \frac{10}{4} x

I.e y =  - \frac{5}{2} x  - \frac{6}{4}

So, Slope of this line = m_3 = - \frac{5}{2}

<u>Now, If the lines are parallel , then the slope of the lines are equal</u>

<u>And  If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>

Now, From given lines

m_2 × m_3 = \frac{2}{5} × ( - \frac{5}{2} )

I.e m_2 × m_3 = - 1

So, The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Hence The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3 Answer

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A

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