Eight *(a number) plus 5*(another number) is -13.
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

Divide by -3,

Plug back into one of your original equations to find the value of x,

Subtract 7,
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
It depends if you mean like a prism with say 15w 10l and 9h in a horizontal and a prism with a same volume but in a different position. and have a nice day
8! is 40,320
Step-by-step explanation:
- Step 1: Find 8! (8 factorial).
Factorial of 8 is the product of 8 and all the integers below 8.
⇒ 8! = 8×7×6×5×4×3×2×1
= 40,320