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Law Incorporation [45]
4 years ago
9

What are the answers to these problems

Mathematics
1 answer:
olchik [2.2K]4 years ago
7 0
Can't see the picture clearly
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Simplify the radical:<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5x%5E4%7D%20" id="TexFormula1" title=" \sqrt{5x^4} " alt
ziro4ka [17]
Split up the top and bottom into factors and cancel out any common factors.

While we do these problems, it is important to remember this rule:

\sqrt{ab} = \sqrt{a} \sqrt{b}

First, we will split up the top.

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

We can't do anything with the square root of 5 because it is in it's simplest form. But, we can still split up the square root of x^2

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

Now we can simplify.

\sqrt{5} \sqrt{x^2} \sqrt{x^2} = \sqrt{5} x * x

\sqrt{5} x * x = \sqrt{5}x^2

The top is done, now for the bottom one.

\sqrt{10x} = \sqrt{10} \sqrt{x}

We can't simplify either the square root of 10 or the square root of x.
So, the top is done, too.

Find any common factors and cancel them out.

\frac{\sqrt{5}x^2}{\sqrt{10} \sqrt{x}}

Well, I can't find any common factors to cancel out, but, we can still simplify it further.

There is another law regarding radical expressions:

\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}

Using this, simplify the expression further.

\frac{\sqrt{5}x^2}{\sqrt{10} \sqrt{x}} = \sqrt{\frac{5}{10}} \frac{x^2}{\sqrt{x}}

\sqrt{\frac{5}{10}} \frac{x^2}{\sqrt{x}} = \sqrt{\frac{1}{2}} \frac{x^2}{\sqrt{x}}

So, now it is in it's simplest form.
5 0
3 years ago
Find the sum of the series. ∞ 5(−1)nπ2n + 1 32n + 1(2n + 1)! n = 0
wlad13 [49]
Could you give the question more clear?
5 0
4 years ago
Help me plz omg <br><br> all im going to say is help me plz haha lol
koban [17]

Answer:

B

Step-by-step explanation:

You know it's not A because there is more than 7 hundreds

It's also not C because it would have to be 7 ones, not 7 tens

7 0
3 years ago
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Help me quick I'll give brainliest to the person with the correct answer 50 points​
scoray [572]

Answer:

i think the answer may be "64cm^2" i may be wrong sry if i am

Step-by-step explanation:

8 0
2 years ago
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How might you prove your observations in Question 2 using algebra and x and y-coordinates? Briefly outline an approach using wha
tresset_1 [31]

Answer:

I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.

7 0
3 years ago
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