Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = 
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = 
= 
= 
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = 
= 
Both the lines are parallel having no point of intersection.
Option C
Slope = 
= 
Therefore, both the lines will intersect.
Option D
Slope = 
= 
Both the lines will intersect each other.
Option E
Slope = 
= 
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
Answer:
The commission rate is of 12%.
Step-by-step explanation:
Commission rate:
The commission rate is given by the commission value multiplied by 100% and divided by the value of merchandise sold.
In this question:
$252 in commission for selling $2100 in merchandise. So
252*100%/2100 = 12%
The commission rate is of 12%.
Answer:
vertex (5,2)
axis of symmetry: x=5
Step-by-step explanation:
vertex (h,k)
y = a(x - h)² + k
f(x)=(x-5)²+2 a = 1 h = 5 k = 2
vertex (5 , 2)
The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
x = 5