The correct choice is D.) No solution
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:
B
Step-by-step explanation:
We can use the law of cosinse:
=
− 2ab cos(C)
Suppose the two sides are a and b, and the angle betweent them is C.
=
− 2*3*4 cos(60)
We can simplify this to get
=25-12=13
c=
Answer choice B
Answer:
$11.80
Step-by-step explanation:
Given data
Bill= $65.54
Tip= 18% tip
Let us compute the value of the tip
= 18/100* 65.54
= 0.18*65.54
= 11.7972
Hence the value of the tip is
= $11.80
Answer:x2+2x−15
Step-by-step explanation: