Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula

to get the <span>distance between lawyer's home and office:
</span><span>
</span><span />


.
Answer: 25 miles.
Answer:

Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(8x - 13)
= 
= 
Answer:
40951
Step-by-step explanation:
Using the principles of inclusion - Exclusion
Where C(n,r)=n!/(n-r)!r!
Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000
Total Number of elements in each pair including number repetition of sets is given as
=(1000) × C(5, 2) =10000
Number of elements in each triple of sets is given as
=(100) × C(5, 3) =1000
Number of elements in every four sets
=(10) × C(5, 4)=50
Number of elements in every one set
(1) × C(5, 5)=1
Therefore total number of unique elements=50000-10000+1000-50+1
=40951
Answer:
450
Step-by-step explanation:
1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;
45*10 = 450 millimeters
Did you ever do this if so do you have an email I can message you on. I've been stuck on this.