Answer:

Step-by-step explanation:
Having the radius to be involved, the shape is a circle.
<u>Circumference formula </u>

Finding radius, formula will be reversed.


Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) isy=(1/3)*x+15Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line
y=(1/3)*x+15then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) isthe point does not belong to the given line
see the attached figure
If you would like to know the Tom's pay for the week, you can calculate this using the following steps:
P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked
B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8
<span>Tom's pay for the week would be $177.8.</span>
Range? that's a possibility
Answer:
The inequality is 
Step-by-step explanation:
Total time:
The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.
In this question:
Same number(n) of both.
Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?
This means that:

So

The inequality is 