Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction


On comparing the coefficient
and
On putting the value of A and B

Taking inverse Laplace

Now in G(s) there is onether term 
So F(t)
Answer:
(x + 2) (x + 4)
Step-by-step explanation:
Before looking at my explanation make sure next time you are going to ask another question write the numbers that include exponents like this: x^2 instead of x2
Factor out x^2:
x + x
Factor out 6x:
Since it is in the bx form we’ll need two numbers be add so it can be equivalent to 6x
Answer: 4 and 2
Factor out 8:
4 x 2
Now start with the 8 and 6x
(? + 4) + (? + 2)
Then finish it off with x
(x + 4) (x + 2)
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
Answer:
0.033547 I think
Step-by-step explanation:
Answer:
15 units.
Step-by-step explanation:
The distance between the points (x1, y1) and (x2, y2) is
√(x1-y1)^2 + (y1-y2)^2))
So here it is:
√(10- -2)^2 + (6- -3)^2)
= √(144+81)
= √225
= 15.