Answer:
x=81 degrees z=99 degrees y=68 degrees
Step-by-step explanation:
first we know 36+63+x is 180 degrees by triangle sum ( the sum of the three angles of a triangle is 180) so x would be 81 degrees. then we know x+z=180 degrees by sum of a line( a line is 180 degrees on either side) making z=99 degrees. Then doing triangle sum again we know 13+99+y=180 degrees making y=68 degrees
Answer:
B. 36
Step-by-step explanation:
Factoring 3x^2 + 12x + 36
3x^2 + 12x + 36
= 3(x^2 + 4x + 12)
<em>This is the most it can factor.</em>
None of the others factor.
The area is given by
![\displaystyle\int_0^\infty\frac{\mathrm dx}{x^2+6x+10}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E%5Cinfty%5Cfrac%7B%5Cmathrm%20dx%7D%7Bx%5E2%2B6x%2B10%7D)
Complete the square in the denominator:
![x^2+6x+10=x^2+6x+9+1=(x+3)^2+1](https://tex.z-dn.net/?f=x%5E2%2B6x%2B10%3Dx%5E2%2B6x%2B9%2B1%3D%28x%2B3%29%5E2%2B1)
then substitute
![x+3=\tan y](https://tex.z-dn.net/?f=x%2B3%3D%5Ctan%20y)
, so that
![\mathrm dx=\sec^2y\,\mathrm dy](https://tex.z-dn.net/?f=%5Cmathrm%20dx%3D%5Csec%5E2y%5C%2C%5Cmathrm%20dy)
. Then as
![x\to0^+](https://tex.z-dn.net/?f=x%5Cto0%5E%2B)
, we have
![y\to\arctan3](https://tex.z-dn.net/?f=y%5Cto%5Carctan3)
; as
![x\to\infty](https://tex.z-dn.net/?f=x%5Cto%5Cinfty)
, we have
![y\to\dfrac\pi2](https://tex.z-dn.net/?f=y%5Cto%5Cdfrac%5Cpi2)
. So the integral becomes
Student 1,2, and 3
Student 2,1, and 3
Student 1, 3, and 2
Student 2, 3, and 2
Student 3, 1, and 2
Student 3, 2, and 1
so 6 different orders
The answer is D because 36 divided by 12 is 3 then your 36 is negative so You will change the sign to negative