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Oxana [17]
3 years ago
5

I'm stuck, I don't know how to solve this answer. Please help!

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
3/8-12/8= -9/8, 9/16-12/16= -3/16, -18/16--3/16= --21/16 I think this is correct
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9. Combine the radical expression, if possible.
Anastaziya [24]

Answer:

we conclude that:

3\sqrt{125}+4\sqrt{20}=23\sqrt{5}    

Hence, the last option i.e. 23\sqrt{5} is correct.                      

Step-by-step explanation:

Given the expression

3\sqrt{125}+4\sqrt{20}

Combining the radical expressions

3\sqrt{125}+4\sqrt{20}

let us first solve

3\sqrt{125}

=3\sqrt{5^3}

=3\sqrt{5^2\cdot \:5}

Apply radical rule:  \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0

=3\sqrt{5^2}\sqrt{5}

Apply radical rule:   \sqrt{a^2}=a,\:\quad \:a\ge 0

=3\cdot \:5\sqrt{5}

=15\sqrt{5}

Thus,

3\sqrt{125}=15\sqrt{5}

similarly solving

4\sqrt{20}

=4\sqrt{2^2\cdot \:5}

Apply radical rule:  \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0

=4\sqrt{2^2}\sqrt{5}

Apply radical rule:   \sqrt{a^2}=a,\:\quad \:a\ge 0

=4\cdot \:2\sqrt{5}

=8\sqrt{5}

Thus,

4\sqrt{20}=8\sqrt{5}

so we get

3\sqrt{125}=15\sqrt{5}

4\sqrt{20}=8\sqrt{5}

so the expression becomes

3\sqrt{125}+4\sqrt{20}=15\sqrt{5}+8\sqrt{5}        ∵ 3\sqrt{125}=15\sqrt{5} , 4\sqrt{20}=8\sqrt{5}

                        =23\sqrt{5}                   ∵ 15\sqrt{5}+8\sqrt{5}=23\sqrt{5}

Therefore, we conclude that:

3\sqrt{125}+4\sqrt{20}=23\sqrt{5}    

Hence, the last option i.e. 23\sqrt{5} is correct.                    

7 0
3 years ago
What's the simplest form of 78/100
Bad White [126]
The answer is 
39/27 :)

6 0
3 years ago
Read 2 more answers
If (2^6)x = 1, what is the value of x? Explain your answer.
lilavasa [31]

Answer:

x=\frac{1}{64} Exact Form

x=0.015625 Decimal Form

Step-by-step explanation:

\frac{(2^6)x}{2^6} =\frac{1}{2^6} Divide each term in (2^6)x=1 by 2^6.

x=\frac{1}{2^6} Cancel the common factor of 2^6.

x=\frac{1}{64} Raise 2 to the power of 6.

x=0.015625 Decimal Form.

7 0
3 years ago
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
anzhelika [568]

Answer:

Given:

Cylinder: height = 16 cm ; radius = 5 cm

cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³

Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 

5 0
2 years ago
one of the corners of a cube is sliced off. the resulting cross section will have a minimum of how many sides
AURORKA [14]
Three sides, because if you make a clean cut the surface of the cut is a triangle.
6 0
4 years ago
Read 2 more answers
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