Answer:
A. 2/3
Opposite Sides of a Parallelogram
The two pairs of sides in a parallelogram are parallel to each other.
Parallel lines have the same slope.
The slope of the opposite sides of a parallelogram are congruent (equal in measure).
Given:
Slope of PQ = 2/3
Slope of QR = -1/2
For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.
This implies that: Slope of SR = Slope of PQ = 2/3.
Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.
Answer:
The resulting graph is
.
Step-by-step explanation:
The resulting function is of the form:

Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Amplitude, dimensionless.
- Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is:
. According to the graph, the function is bounded between 5 (
) and -5 (
), and the midpoint value (
) is 0. The amplitude is determined by the following calculation:

If
and
, then:

The resulting graph is
.