The lengths of two sides of a triangle are shown below:

side 1: 8x^2 - 5x - 2
side 2: 7x - x^2 + 3
the perimeter of the triangle is 4x^3 - 3x^2 + 2x - 6

answer the following questions:
part a: what is the total length of the two sides, 1 and 2, of the triangle?
part b: what is the length of the third side of the triangle?
part c: do the answers for part a and part b show that the polynomials are closed under addition and subtraction? justify your answer.

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.

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.