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2 years ago

Solve equation using SQAURE ROOTS, show work. Round to the nearest hundredth if needed

Mathematics

1 answer:

ivann1987 [24]2 years ago

7 0

Answer:

x=8, x=4

Step-by-step explanation:

Add 4 to both sides

$(x-6)^2=4$

Square root

$(x-6)= \sqrt{4}$

x - 6 = ±2

x = 8

OR x = 4

So, x=8 or x=4

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Read 2 more answers

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3 years ago

After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

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Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

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

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

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therefore

The ball will take 4.05 seconds to hit the ground.

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3 years ago

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