Answer:
(A)
(B)
Step-by-step explanation:
We have to find the Laplace transform
(a) x(t) + 7 x(t) = 5 cos2t
Taking Laplace of both side
(B)
Taking Laplace transform of both side
General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes . We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.
Step-by-step explanation:
The advantages of writing the polynomial expression
-7 + 32x + 240 in factored form when interpreting this
situation
Factorizing the quadratic equation gives
-7 + 32x + 240
-7 +60x - 28x + 240
x×(-7x + 60) -4 ×(-7x + 60)
(x-4)×(-7x + 60)
The roots of the equation<em> 4,-60/7</em>
<em>Advantages of writing the polynomial expression in factored </em>
- <em> we directly know the roots </em>
- <em> we can easily draw the graph of the quadratic</em>
Answer:
The first option.
Step-by-step explanation:
When graphing inequalities on a number line, a solid circle indicates that the number is part of the solution, while an open circle does not count that number as part of the solution.
Drawing a line to the left of the circle means that the solution includes values less than the circled number. Drawing a line to the right means that the included values are greater than the circled number.
I hope this helped :)