The square's diagonal is the triangle's hypotenuse.
the original Pythagorean theorem is
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%2B%20%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20)
where
a and
b are the two sides and
c is the hypotenuse.
that means the Pythagorean theorem for this question is:
![s^{2} + s^{2} = d^{2}](https://tex.z-dn.net/?f=%20s%5E%7B2%7D%20%2B%20s%5E%7B2%7D%20%3D%20d%5E%7B2%7D%20)
or
Answer:
6^-1
Step-by-step explanation:
6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)
A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.
The answer is then easy. It is 6^(-6 + 5) = 6^-1
You could give the answer as 1/6 but that is not what the question says.
Answer:
feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.
The first step for solving this expression is to subtract the whole numbers and the fractional parts of the mixed numbers separately. This process will look like the following:
(5 - 4) + (
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
-
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
)
Now subtract the numbers in the first parenthesis.
1 + (
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
-
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
)
Then subtract the fractions in the second parenthesis.
1 + 0
Since we are adding 1 to 0,, the quantity will not change so our final answer is going to be 1.
Let me know if you have any further questions.
:)