Billy is analyzing a circle, y2 + x2 = 81, and a linear function g(x). will they intersect? y2 + x2 = 81 g(x) graph of the function y squared plus x squared equals 81 x g(x) −1 −8.5 0 −9 1 −9.5

YES, they will intersect.

Step-by-step explanation:

The equation of circle with center at origin i.e. (0,0) and radius 9 is  given by:

Also, we are given a linear function g(x) whose set of values in table is given by:

xg(x)

−1−8.5

0−9

1−9.5

Now, we find the equation of line with the help of two points.

We know that the equation of a line passing through (a,b) and (c,d) is given by:

We have:

(a,b)=(-1,-8.5) and (c,d)=(0,-9)

Hence, the equation of g(x) is:

Hence,

g(x)= -0.5x-9

Now we plot the graph of circle and the linear function g(x) and see whether they will intersect or not.

Yes, the graph of the two functions will intersect.

The point of intersection are:

(-7.2,-5.4) and (0,-9)

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208