264
Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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Answer:
(c) 9, 24, 26
Step-by-step explanation:
If you're familiar with Pythagorean triples, you may recognize that 10-24-26 is a doubling of the common 5-12-13 triple seen in many problems. That means the triple 9-24-26 cannot be a right triangle.
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The "form factor" of f = a^2 +b^2 -c^2, where c is the longest side length, can signal the kind of triangle it is. f=0 indicates a right triangle (values satisfy the Pythagorean theorem). When there are a lot of numbers to try, I like to let a calculator or spreadsheet do the math. (See attached).
As indicated above, the 9-24-26 triple cannot be a right triangle. For f < 0, it will be an obtuse triangle.
Answer:
See below.
Step-by-step explanation:
1. x = e^(x/y) Taking logs:
log x = x/y
x = y log x
Differentiating:
1 = dy/dx log x + y * 1/x
dy/dx log x = (1 - y/x)
dy/dx = (1 - y/x) / log x
dy/dx = ((x - y)/ x) / log x
dy/dx = (x - y) / x log x)
2. y^x = e ^(y - x)
Taking logs:
x log y = y - x --------------(A)
y = x + x logy --------------(B)
dy/dx = 1 + x * 1/y * dy/dx + 1*logy
dy/dx - dy/dx * x/y = 1 + log y
dy/dx ( (x - y) y)) = 1 + log y
dy/dx = y(1 + log y) / (y - x)
Using (A) and (B) :-
dy/dx = x(1 + logy)(1 + logy) / x logy The x's cancel, so:
dy/dx = (1 + logy)^2 / log y
Sorry I have to go right now..
The rest of the answers are on the re-post of these questions
Answer:
? = 49
Step-by-step explanation:
To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.
This is all based on the fact that the two triangles must be similar triangles.
Here, y = -15 with x = -20
LCM of 15 & 20 is 60, so divide 15 & 20 from 60,
60/15 = 4 & 60/20 = 3
Now, multiply the results with intial values,
4y = 3x
y = 3/4 x
When y = 12,
x = 12 * 4/3
x = 48 / 3
x = 16
In short, Your Answer would be 16
Hope this helps!
