Answer:
t = 8, t = 4
Step-by-step explanation:
-t² + 12t = 32
-t² + 12t - 32 = 0 (Subtracted 32 on both sides.)
t² - 12t + 32 = 0 (Divided by -1 on both sides.)
(t - 8)(t - 4) = 0 (Factor.)
t - 8 = 0 t - 4 = 0
t = 8 t = 4
Answer:it would be the fourth one
Step-by-step explanation:
Looks like the equation is
![yy'+x=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=yy%27%2Bx%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
Substitute
, so that
. Then the equation is the same as
![\dfrac{u'-2x}2+x=\sqrt u\implies u'=2\sqrt u\implies\dfrac{\mathrm du}{2\sqrt u}=\mathrm dx](https://tex.z-dn.net/?f=%5Cdfrac%7Bu%27-2x%7D2%2Bx%3D%5Csqrt%20u%5Cimplies%20u%27%3D2%5Csqrt%20u%5Cimplies%5Cdfrac%7B%5Cmathrm%20du%7D%7B2%5Csqrt%20u%7D%3D%5Cmathrm%20dx)
Integrate both sides to get
![\sqrt u=C\implies\sqrt{x^2+y^2}=C](https://tex.z-dn.net/?f=%5Csqrt%20u%3DC%5Cimplies%5Csqrt%7Bx%5E2%2By%5E2%7D%3DC)
Given that
, we have
![\sqrt{1^2+(\sqrt8)^2}=C\implies C=3](https://tex.z-dn.net/?f=%5Csqrt%7B1%5E2%2B%28%5Csqrt8%29%5E2%7D%3DC%5Cimplies%20C%3D3)
so the solution is
![\sqrt{x^2+y^2}=3](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%2By%5E2%7D%3D3)
Answer:
You cant, because Ben is WRONG, unless you made a typo while writing the question
Step-by-step explanation:
If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.
Hope this helped! If it did, please mark it brainliest! It would help a lot! :D
To solve this problem, we just need to divide his total payment by the number of monthly payments he made:
14256 ÷ 48 = 297
Tom's monthly payment was $297.