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rosijanka [135]
3 years ago
11

Show why the following statement is true: 2^−1/2 = 1/2^1/2

Mathematics
1 answer:
Alik [6]3 years ago
6 0

In order to solve a negative exponent, you have to consider the multiplicative inverse of the base:

a^{-m}=\dfrac{1}{a^m}=\left(\dfrac{1}{a}\right)^m

So, if we solve the negative exponent on the left hand side, we have

2^{-\frac{1}{2}}=\dfrac{1}{2^\frac{1}{2}}=\left(\dfrac{1}{2}\right)^{\frac{1}{2}}

which is the right hand side.

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Which of the diagrams below represents the contrapositive of the statement
VMariaS [17]

Answer:

The correct figure is B.

Step-by-step explanation:

The statement provided is:

"If it is an equilateral triangle, then it is an isosceles triangle"

The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.

Then the contra-positive of the statement provided will be:

  • Switching the hypothesis and conclusion:

        If it is an isosceles triangle - It is an equilateral triangle.

  • Negating both the statements:

        If it is not an isosceles triangle - it is not an equilateral triangle.

Thus, the contra-positive of the statement is:

"If it is not an isosceles triangle, then it is not an equilateral triangle."

Thus, the correct figure is B.

7 0
3 years ago
In mrs. wiggins class of 32 students, 3/8 of the student are taking French, and 1/2 of the students are taking Latin. If 6 stude
Vlad1618 [11]
The answer is 10 you see 6 people are in both of the classes so you have to subtract 6 from the 12 and 16 12+16-6=22 
32-22=10
5 0
3 years ago
Can someone please help me with this question?
liq [111]
To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for. 
3. If 100% = 55 so we can write it down as 100%=55 
4. We know that x% = 44 of the output value so we can write it as x%=44.
5. Now we have two simple equations: 1) 100%=55 2) x%=44 where left sides of both of them have the same units and both right sides have the same units so we can do something like that 100%/x%=55/44.
6. Now we just have to solve the simple equation and we will get the answer.
7. Solution for 44 is what percent of 55 100%/x%=55/44 (100/x)*x=(55/44)*x we multiply both sides of the equation by x 100= 1.25*x we divide both sides of the equation by (1.25) to get x 100/1.25=x 80=x now we have: 44 is 80% of 55! 

Quick answer = 44 is 80% of 55
Hope this helps! ;D
3 0
3 years ago
How to find the measure of angle. If the measure is be and the angle is 60dgree
Sphinxa [80]

Answer:

i dont under your question. Do you mean on triangles or complamentary or supplementary angles it depends

6 0
2 years ago
Read 2 more answers
Please help!! Thanks
Troyanec [42]
X=3

X/-3 = -1 ,Leave X by itself so multiply by -3 on both sides.

X = -1*-3

X = 3, negative times negative equals positive.
6 0
3 years ago
Read 2 more answers
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