Follow the steps below to prove the identity (a²+b²)(x²+y²) =(ax-by)²+(bx+ay)² (a)- multiply (a²+b²)(x²+y²). (b) square both binomials in (ax-by)²+ (bx+ay)² and collect like terms. (c) use your answers from part (a) and part (b) to prove the identity.

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.

Igor stravinsky tires sells approximately 3,760,000 car tires and 1,200,000 truck tires each year. about 47,000,000 care tires and 26,000,00 truck tires are sold each year in the united states. what is stravinsky's market share in each of these two markets (cars and trucks)?

How do you create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1?