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1 year ago

Distribute and simplify the radicals below.

Mathematics

1 answer:

erastovalidia [21]1 year ago

8 0

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

<h3>How to simplify the radical?</h3>

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

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33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0 $ms^-2$ and g2 = 9.8 $ms^-2$

We get h1 = 3.67m which is the required height

6 0

2 years ago

How do u write 19/25 fraction or mixed number as a decimal

Romashka [77]

Divide the bottom into the top for a decimal

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2 years ago

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Felix scored 52 and 64 on his first two test in Sociology 212. What must he get on the third test to get an average of the three

Pie

Answer:

Felix's third test score must be greater than 94

Step-by-step explanation:

Felix scores on Sociology 212 tests:

1st test - 52

2nd test - 64

3rd test - x

Find the average of Felix's scores:

$\text{Average}=\dfrac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=\dfrac{52+64+x}{3}$

An average of the three test must be above 70, this means

$\text{Average}>70\\ \\\dfrac{52+64+x}{3}>70$

Solve this inequality. First, multiply it by 3:

$52+64+x>210\\ \\x>210-52-64\\ \\x>94$

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2 years ago

What is the inverse of f(x) = 19/x^3

Gre4nikov [31]

Y = f (x) = 19 / x^3 and g (y) = x
g is inverse of f 

x^3 = 19 / y 
x = [ 19 / y ]^(1/3) 
g (y) = [ 19 / y ]^(1/3) 
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2 years ago

Please rewrite in standard form

Yakvenalex [24]

Answer:

Write what?

Step-by-step explanation:

I dont understant?

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