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Eduardwww [97]
3 years ago
15

A water balloon is 5 feet above the ground when Sally launches it into the air. Use the quadratic equation 0 = -t^2 + 4t + 5 to

find how much time, t, it takes for the water balloon to reach the ground.
Mathematics
2 answers:
Alla [95]3 years ago
8 0

Answer:

<u><em>5 seconds </em></u>

Step-by-step explanation:

ttm/imagine math

rodikova [14]3 years ago
7 0

Answer:

t=5\ sec

Step-by-step explanation:

we have

-t^{2} +4t+5=0

Solve the quadratic equation to find the zero's or x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero ( water balloon reach the ground)

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-t^{2} +4t+5=0

so

a=-1\\b=4\\c=5

substitute in the formula

t=\frac{-4(+/-)\sqrt{4^{2}-4(-1)(5)}} {2(-1)}

t=\frac{-4(+/-)\sqrt{36}} {-2}

t=\frac{-4(+/-)6} {-2}

t=\frac{-4(+)6} {-2}=-1

t=\frac{-4(-)6} {-2}=5

therefore

the solution is t=5\ sec

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Step-by-step explanation:

6 0
3 years ago
Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points) Part B: Find an irrational nu
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The answer 
<span>a rational number that is between 5.2 and 5.5
first, </span><span>a rational number  is a decimal number that the number after the dot can be ended. for example
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so a rational number </span>between 5.2 and 5.5 can be 525 /100
because this rational number can be written as 525 /100 = 5.25
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an irrational number  is a decimal number that the number after the dot cannot be ended. for example  1/3 = 0.3333333333......

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3 years ago
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