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zlopas [31]
3 years ago
12

Take a factor out of the square root:

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

1.  |y| sqrt(10)

2.  |x| sqrt(x)

3. a^2 sqrt(a)

4.  4 |y|^3 sqrt(3)

5.  1/4 *|x| sqrt(3x)

Step-by-step explanation:

1.  sqrt(10y^2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(y^2) sqrt(10)

|y| sqrt(10)

We take the absolute  value of y because -y*-y = y^2 and the principle square root is y

2.  sqrt(x^3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(x^2) sqrt(x)

|x| sqrt(x)

3. sqrt(a^5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(a^4) sqrt(a)

a^2 sqrt(a)

4.  sqrt(16 y^7)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(y^6)sqrt(y)

4 |y|^3 sqrt(3)

5.  sqrt(3/16x^3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(1/16) sqrt(x^2)sqrt(3x)

1/4 *|x| sqrt(3x)

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Answer:

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Since its a six sided die the probability for rolling a single number  ( like six or four) is always going to be 1/6.

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3 years ago
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Consider the following pair of equations:
V125BC [204]
The pair of equations:
y = x + 4
y = -2x - 2

To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4

x+4 = -2x - 2
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