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melomori [17]
3 years ago
6

3√12•√6please show a step by step explanation ​

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:  18\sqrt{2}\\\\

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: \sqrt{A}*\sqrt{B} = \sqrt{A*B}

So we could have this as our steps:

3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\

Therefore, 3\sqrt{12}*\sqrt{6} = 18\sqrt{2}

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

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Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2
hram777 [196]

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

4 0
3 years ago
Find the volume of the sphere
ivolga24 [154]

Answer:

The volume = 5 276.66928645188 cm³

Step-by-step explanation:

let V be the volume of the given sphere.

V = (4/3)×π×r³ ,where r is the radius of the sphere

r = 21.6÷2 = 10.8 cm

Then

V = (4÷3)×π×(10.8)³

   = 5 276.66928645188 cm³

6 0
1 year ago
A book store contains 75,972 books, divided in three sections: Science, Business, and Math.
Artyom0805 [142]
The answer is 12,662 books in the math section.

Since the science section represents 1/3 of the total books, divide 75,972 by 3.

75,972 ÷ 3 = 25,324 books in the science section.

Now, subtract 25,324 science books from the total number of books.

75,972 - 25,324 = 50,648 remaining books.

Divide the remaining books by 4 and then multiply by 3.

50,648 ÷ 4 = 12,662 • 3 = 37,986 business books.

Add the science books and business books together.

25,324 + 37,986 = 63,310 science and business books.

Subtract 63,310 from 75,972.

75,972 - 63,310 = 12,662 books in the math section.

Hope I helped!
3 0
3 years ago
The expression 7x-3/x+2 is equivalent which of the following​
andreev551 [17]

Answer:

x it equal 7.5

Step-by-step explanation:

8 0
3 years ago
What is the slope of a line that is parallel to 3x - 4 = 8y + 1
Verizon [17]

You can use Desmos graphing calculator

6 0
2 years ago
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