Given:
The slope of a line is
.
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e.,
. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is
. It means the slope of the perpendicular line must be
. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
For this case we have the following vertices:
D = (- 1, -1)
E = (1, -1)
F = (- 1, -6)
Then, the vertices after the transformation are:
D '= (- 1, 1)
E '= (1,1)
F '= (- 1,6)
The x coordinate remains the same
The y coordinate change sign.
Therefore, the transformation is:
Reflection on the x axis.
Answer:
Reflection on the x axis.
option 1
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
Answer:
14
Step-by-step explanation:
Given that a package delivery company purchased 14 trucks at the same time. Five trucks were purchased from manufacturer A, four from manufacturer B, and five from manufacturer C. The cost of maintaining each truck was recorded.
No of companies = 3
No of items in total = 14
Total df = 17-1=16
degrees of freedom between groups = 3-1 =2
Hence degrees of freedom for denominator
=