9514 1404 393
Answer:
7.06
Step-by-step explanation:
This triangle can be solved a couple of ways. In the end, they amount to the same thing.
1) The area is ...
A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base
Using GE as the base, the height (DF) is ...
A = (1/2)(17)(DF)
2(60)/17 = DF = 120/17
DF ≈ 7.06
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2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...
(long side)/(hypotenuse) = DE/GE = DF/DG
DF = DG(DE/GE) = 8(15/17) = 120/17
DF ≈ 7.06
Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.
Or, if you actually did want the second order derivative,
![\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%5E2%7D%7B%5Cpartial%20y%5Cpartial%20x%7D%282x%2B3y%29%5E%7B10%7D%3D%5Cdfrac%5Cpartial%7B%5Cpartial%20y%7D%5Cleft%5B20%282x%2B3y%29%5E9%5Cright%5D%3D180%282x%2B3y%29%5E8%5Ctimes3%3D540%282x%2B3y%29%5E8)
and in case you meant the other way around, no need to compute that, as
by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because
is a polynomial).
Answer:The correct answer is D-x/2=45; x=90
Explanation: I just took the test and got a 100%
let "a number" = x
(x) + (x + 1) + (x + 2) = 72
Simplify. Combine like terms
3x + 3 = 72
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
3x + 3 (-3) = 72 (-3)
3x = 72 - 3
3x = 69
3x/3 = 69/3
x = 69/3
x = 23
23 is the smallest number
hope this helps
Answer:
they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.
Step-by-step explanation:
