Answer: Choice B) {3, 5, sqrt(34)}
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Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
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For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
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Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
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Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
Answer:
Your power function is y=-2
Step-by-step explanation:
The way I found it was.
0=0, so, the function multiply by zero, and have no other term to add
A number (one in a case) gives as a result: -2. So, one, elevated to ANY power results in one, every time. So, I have 1, as a factor and -2 as a result. One is as well a factor that delivers a result equal to the other factor. (3)(1)=3 , (8987)(1)=8987. So, the other factor must be -2
Then I checked all the table, and the results were consistent.
Start from the parent function 
In the first case, you are computing

In the second case, you are computing
, you translate the function horizontally,
units left if
and
units right if
.
On the other hand, when you transform
, you translate the function vertically,
units up if
and
units down if
.
So, the first function is the "original" parabola
, translated
units right and
units up. Likewise, the second function is the "original" parabola
, translated
units left and
units down.
So, the transformation from
to
is: go
units to the left and
units down
Answer:
20/40 = 10/20 = 1/2, 1:2
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
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