Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?
Rewrite the equation −2y=3x+7 in the form
Here the slope of the given line is
If
is the slope of perpendicular line, then

Answer 1: 
Part B. The slope of the line y=−2x+3 is -2. Since
then lines from part A are not parallel to line a.
Since
both lines are not perpendicular to line a.
Answer 2: Neither parallel nor perpendicular to line a
Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then
2·5+5·(-4)=b,
10-20=b,
b=-10.
Answer 3: 2x+5y=-10.
Part D. The slope of the line
is
Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then
7=-4·2+b,
b=7+8,
b=15.
Answer 4: y=-4x+15.
Part E. Consider vectors
These vectors are collinear, then

Answer 5: 
Answer:
about 20
Step-by-step explanation:
The numbers round to 600/30 = 20, which is a reasonable estimate.
You can refine this by doing the next step of long division:
29×20 = 580
Subtracting this from 591.3 give 11.3, so the fraction is ...
11.3/29 ≈ 10/30 = 1/3
A better estimate is 20 1/3.
_____
A calculator tells you the quotient is about 20.3897.
Answer: 15
Step-by-step explanation:
12^2 + 9^2 = 225
square root of 225 = 15