Two hot air balloons are flying above a park. one balloon started at a height of 3,000 feet above the ground and is decreasing in height at a rate of 40 feet per minute. the second balloon is rising at a rate of 50 feet per minute after beginning from a height of 1,200 feet above the ground. given that his the height of the balloons after m minutes, determine which system of equations represents this situation. a. h = 3,000 + 40m h = 1,200 - 50m b. h = 3,000m - 40 h = 1,200m + 50 c. h = 3,000 - 40m h = 1,200 + 50m d. m = 3,000 - 40h m = 1,200 + 50h

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Match each statement with its corresponding value for the system below: y = -2(3)x and y = 9x - 2 1. the number of points of intersection. -2 2. the x-coordinate of the solution. 1 3. the y-coordinate of the solution. 0

Triangle inequality theorem state if each set of three numbers can be the lengths of the sides of a triangle. 1. 9, 8, 22. 2. 5,10,12. 3. 7,10,22. 4. 4,11,12. 5. 11,9,10. 6. 10,4,19. 7. 3,12,10. 8. 4,3,2. 9. 6,5,13. 10. 7,12,20. me .