D is you answer bud yoo 7$()6
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: 
A linear function means you’re working with a line. Lines can be stated in slope-intercept form: y=mx+b.
To make it a linear function, you simply replace “y” with “f(x)” notation: f(x) = mx + b
The information you gave told you m=2 and b=6, since (0,b) is the y-intercept.
Putting that all together you have:
f(x) = 2x + 6
Answer:
Input divided by 3 is output 28 and 38 are the outputs in the blank boxes
Step-by-step explanation:
33 divided by 3 is 11 126 divided by 3 is 42
<u><em>Answer:</em></u>
Elena's running speed is 5 miles/hour
<u><em>Explanation:</em></u>
The speed is defined as the covered distance per unit time
<u>In the problem, we have:</u>
The distance covered is the length (circumference) of the circular track which is given as
of a mile.
We are also given that she completes each lap (she completes
of a mile) in
of an hour
To get her speed, we will divide the distance covered by the time taken to cover this distance
<u>This is done as follows:</u>
speed =
miles/hour
<u>This means that:</u>
Elena can run 5 miles each hour
Hope this helps :)