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3 years ago

7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54

1 answer:

5 0

$7\sqrt3-4\sqrt6+\sqrt{48}-\sqrt{54}\\\\=7\sqrt3-4\sqrt6+\sqrt{16\cdot3}-\sqrt{9\cdot6}\\\\=7\sqrt3-4\sqrt6+\sqrt{16}\cdot\sqrt3-\sqrt9\cdot\sqrt6\\\\=7\sqrt3-4\sqrt6+4\sqrt3-3\sqrt6\\\\=\boxed{11\sqrt3-7\sqrt6}$

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Rationalize the denominator:<br><br> Please give step by step solution

MrMuchimi

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

$\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i$

5 0

2 years ago

Use two unit multipliers to convert 628 kilometers to centimeters

irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

$\frac{628 km}{1}$

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier,

$\frac{628 km}{1} \times \frac{1000m}{1km}$

Now the km's will cancel:

$\frac{628}{1} \times \frac{1000m}{1}$

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the first unit multiplier by putting 1 meter in the denominator and 100 cm in the numerator, so the meter's will cancel. So we multiply by the unit multiplier

$\frac{100cm}{1m}$

$\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}$

We cancel the m's and we end up with:

$628 \times 1000 \times 100 cm$

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0

3 years ago

I need help pls pls pls pt.2

Eva8 [605]

Answer:

where is the Worksheet

Step-by-step explanation:

there is no Worksheet

3 0

2 years ago

Which is the inverse fuction of f(x)=4x

solniwko [45]

f(x)=4x

To find the inverse, first change f(x) to y:

y = 4x

Now switch the variables:

x = 4y

Solve for Y:

Divide both sides by 4:

y = x/4

Now replace y with the inverse function f^-1(x):

f^-1(x) = x/4

5 0

3 years ago

What is the percent of change from 8,000 to 2,000?

solong [7]

Answer:

75% markdown

Step-by-step explanation:

If I am not mistaken, you can input this into everyday values like a shirt.

For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.

Or so I think, don't quote me on this.

7 0

2 years ago