The equation of a line is:
y-yo=m(x-xo)
Where (xo,yo)=(9,3) and m is the slope.
The slope of a line which is parallel to another line is the same; the slope of the line y=6x-4 is 6, then:
y-3=6(x-9)
y-3=6x-54
y=6x-51
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Answer:
Step-by-step explanation:
We have to simplify the original function using partial fraction, hence:
![From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}](https://tex.z-dn.net/?f=From%5C%20Laplace%5C%20inverse%3A%5C%5C%5C%5CBut%5C%20L%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7Bs-a%7D%20%5D%3De%5E%7Bat%7D%5C%5C%5C%5CHence%3A%5C%5C%5C%5CL%5E%7B-1%7D%20%5B%5Cfrac%7B5s%7D%7Bs%5E2%2B3s-4%7D%5D%3DL%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7Bs-1%7D%20%5D%2BL%5E%7B-1%7D%5B%5Cfrac%7B4%7D%7Bs%2B4%7D%20%5D%3De%5E%7Bt%7D%2B4e%5E%7B-4t%7D%5C%5C%5C%5CL%5E%7B-1%7D%20%5B%5Cfrac%7B5s%7D%7Bs%5E2%2B3s-4%7D%5D%3De%5E%7Bt%7D%2B4e%5E%7B-4t%7D)
Answer C
| (5)(2)+(0)(2) = 10, (5)(-1)+(0)(-2) = -5 |
| |
| (3)(2)+(-5)(2) = -4, (3)(-1)+(-5)(-2) = 7 |
