Find the distance between each pair of points: 1. ( -4, 6) and ( 3, -7)
2. ( -6, -5) and (2,0)
3. ( -1, 4) and ( 1, -1)
4. ( 0, -8) and (3, 2)

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

Ameteorologist is studying the monthly rainfall in a section of the brazilian rainforest. she recorded the monthly rainfall, in inches, for last year. they were: 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5 fill in the missing values in the formula. what is the variance?

Is (root2 -2)^2 rational or irrational. show the steps and answer fast