)

matt looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. the length of one wall in the plan is 19 inches. the length of the diagonal of the floor of the room in the plan is approximately 20.62 inches.

is the room in the shape of a square? explain how you determined your answer. show all your work.

Which values for a and b will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b

1: 4 if the wew 35 surfboards at the beach how many were short boards?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth