A mixed number of the form
can be turned into an improper fraction by using the fact that a mixed number is really het whole number plus its fraction part, so

Then do the usual procedure for adding fractions via common denominator.
For example, to convert the mixed number
into an improper fraction, we have

To add
, we need
to have a denominator of 4, so we multiply the numerator and denominator by 4 to get

Therefore,

<h2>
Answer:</h2>
<u>The equivalent expression is </u><u> (2 / x ^ 3) * sqrt (2)</u>
<h2>
Step-by-step explanation:</h2>
We have sqrt 8 / x ^ 6
Rewriting the expression:
=sqrt (8 / x ^ 6)
=sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
=(2 / (x * x * x)) sqrt (2)
= (2 / x ^ 3) * sqrt (2)
We get finally
(2 / x ^ 3) * sqrt (2)
Answer:
Hypotenuse-Leg Theorem (HL)
Step-by-step explanation:
The HL theorem states that two right triangles are congruent if their hypotenuses are the same length and one leg is the same length. Since the diagram shows this, you can say these triangles through the HL theorem.
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!