Answer:
2
Step-by-step explanation:
We can find the average rate of change by using the formula
rate of change = (y2-y1) /(x2-x1)
= (5-3)/(1-0)
= 2/1
=2
Answer:
C. 
Step-by-step explanation:
The rectangular form of a complex number is represented by the following formula:
(1)
Where each coefficient can be determined as function of the polar components:
(2)
(3)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number, measured in radians.
If we know that 
and 
, then the rectangular form of the number is:
The rectangular form of 
is . The correct answer is C.
Answer is: B
Step-by-step explanation: correct answer is B
b
2
−a
2
Given, acotθ+bcscθ=p
bcotθ+acscθ=q
⇒p
2
−q
2
=(p−q)(p+q)
=[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]
=[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]
=(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)
=(a
2
−b
2
)(cot
2
θ−csc
2
θ)
=(−1)(a
2
−b
2
)[∵csc
2
θ−cot
2
θ=1]
=(b
2
−a
2
)
Answer:
D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent
Step-by-step explanation:
<em>The parallelogram has the following properties:</em>
- <em>Opposite sides are parallel by definition.</em>
- <em>Opposite sides are congruent.</em>
- <em>Opposite angles are congruent.</em>
- <em>Consecutive angles are supplementary.</em>
- <em>The diagonals bisect each other.</em>
A. The figure is a parallelogram because there are two pairs of congruent sides.
- no
B. The figure is a parallelogram because a diagonal is bisected.
- no
C. The figure is not necessarily a parallelogram because the diagonals are not congruent.
-no
D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.
-yes
