Answer:
4z+4x
Step-by-step explanation:
For this kind of questions, what you can do is to find a point on the figure and see what translations it does.
For example, you can find the point (4,2) on the figure H. And then look at each choices to see if the statement is correct.
For this question, the answer is B. The point (4,2) finally change to the (4,-8) on the figure H'. It has a vertical translation of 10 units down.
Contour integration is a method of evaluating certain integrals along paths in the complex plane.
Answer:
B. x = 4 and x = -10
Step-by-step explanation:
First, expand the equation
(x + 3)² = 49
(x + 3)(x + 3) = 49
x² + 6x + 9 = 49
Subtract 49 from both sides
x² + 6x -40 = 0
Factor
(x + 10)(x - 4) = 0
Solve
x + 10 = 0
x = -10
x - 4 = 0
x = 4
So, the correct answer is B. x = 4 and x = -10
Answer:
NM = 8
Step-by-step explanation:
Given rectangle JKLM
JN = x + 3 and JL = 3x + 1
JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.
Substitute and solve for x:
x + 3 = 1/2(3x + 1)
2x + 6 = 3x + 1
3x - 2x = 6 - 1
x = 5
Find JN
JN = 5 + 3 = 8
Looking at the options, we see that
NM = JN = 8
Correct option is A
