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jarptica [38.1K]
3 years ago
10

A ball is released from a height of 180 meters. In the first second, the ball drops 5 meters, in the second 15 meters, in the 3r

d second 25 meters, and so on. How much time will the ball take to hit the ground?
A. 4 seconds

B. 5 seconds

C. 6 seconds

D. 7 seconds
Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

a. 4

Step-by-step explanation:

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Let's called the input 'z'

When we plug 'z' in the function we get ;

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2{ z }^{ 2 }+3z+5=\quad 19

Let's rearrange the equation.

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Let's plug in the values in the formula to solve,

a=2\quad b=3\quad c=-14\\ \\ \frac { -3\pm \sqrt { 9-(4\cdot 2\cdot -14) }  }{ 4 } \\ \\ \frac { -3\pm \sqrt { 9-(-112) }  }{ 4 } \\ \\ \frac { -3\pm \sqrt { 9+112 }  }{ 4 } \\ \\ \frac { -3\pm \sqrt { 121 }  }{ 4 } \\ \\ \frac { -3\pm 11 }{ 4 }

So,

z=\quad \frac { -3+11 }{ 4 } \quad ,\quad \frac { -3-11 }{ 4 } \\ \\ z=\quad \frac { 8 }{ 4 } \quad ,\quad \frac { -14 }{ 4 } \\ \\ z=\quad 2,\quad -\frac { 7 }{ 2 }

So the input can be both, 2 and -\frac{7}{2}

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Step-by-step explanation:

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