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enot [183]
3 years ago
9

Simplify completely.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

\large\boxed{\sqrt{27y^8}=3y^4\sqrt3}

Step-by-step explanation:

\sqrt{27y^8}=\sqrt{9\cdot3\cdot y^{4\cdot2}}\\\\\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b},\ (a^n)^m=a^{nm}\ \text{and}\ \sqrt{a^2}=a\\\\=\sqrt9\cdot\sqrt3\cdot\sqrt{(y^4)^2}=3\cdot\sqrt3\cdot y^4=3y^4\sqrt3

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The height of a golfball hit off a 128-foot hill is modeled by the function h(t) = −16t2 + 32t + 128, where h is height in feet
taurus [48]

The time taken for the golf ball to reach the ground is 1 s.

<h3>Motion of the golf ball</h3>

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t  + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

Learn more about time of  motion here: brainly.com/question/2364404

5 0
2 years ago
1. Write an equation in point-slope form for the line through the given point with the given slope.
ElenaW [278]

Answer: y + 2 = \frac{-1}{2} ( x - 4 )

Step-by-step explanation:

The equation of a line in point - slope form is given as ;

y - y_{1} = m (x -  x_{1})

x_{1} = 4

y_{1} = -2

m = \frac{-1}{2}

Substitute the values into the equation , we have

y - (-2) = \frac{-1}{2}( x - 4 )

y + 2 = \frac{-1}{2} ( x - 4 )

Which could be written as :

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

8 0
3 years ago
What’s the slope of x+2y=-8?
mash [69]

Answer:

- 1/2

Step-by-step explanation:

We use the slope-intercept form to figure out our slope.

y = mx + b

Get y alone:

x + 2y = -8

2y = -x - 8

y = -x/2 - 4

Since m is the slope in y = mx + b, we can see that -1/2 is in the place of m, therefore our slope is -1/2

7 0
2 years ago
What is N in 25-n=32?
Lostsunrise [7]
Simplify both sides of the equation.

<span><span>25−n</span>=32

</span><span>Simplify:

</span><span><span><span>−n</span>+25</span>=32

</span>Subtract 25 from both sides.

<span><span><span><span>−n</span>+25</span>−25</span>=<span>32−25

</span></span><span><span>−n</span>=7

</span>Divide both sides by -1.

<span><span><span>−n/</span><span>−1 </span></span>= <span>7/<span>−1

</span></span></span><span>n=<span>−7

</span></span>Ans:
<span>n = <span>−7</span></span><span>
</span>
7 0
3 years ago
Read 2 more answers
Solve: x + 6 = -11<br> May I please have help with this?!
klemol [59]

Answer:

x=-17

Step-by-step explanation:

subtract 6 from each side and simplify and you'll get -17

3 0
2 years ago
Read 2 more answers
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