Answer:
The value of the line integral is
.
Step-by-step explanation:
Given a path C, with parametrization r(t) for
, we have that
where
is the dot product between two vectors.
In our case, we have
. Then
. In this case we have that F(x,y) = (x,y). Then,
So

Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
Answer: Teacher graded mine and it was: false, true, true, false, true
Step-by-step explanation:
Answer:
YES, they are equal
Step-by-step explanation:
Given the expressions
h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3
h(x) + j(x) = 2x – 3 + (-4x + 6)
h(x) + j(x) = 2x - 3 -4x + 6
h(x) + j(x) = 2x - 4x -3 + 6
h(x) + j(x) = -2x + 3 = k(x)
This shows that h(x) + j(x) = k(x)
First number = X
Second number = 8X
Third number = X - 3
The equation would be
X + (8X) + (X - 3) = 207
X + (8X) + (X - 3) = 207
X + 8X + X - 3 = 207
10X - 3 = 207
10X = 207 + 3
10X = 210
X = 21
First number = 21
Second number = 8 * 21 = 168
Third number = 21 - 3 = 18