write the equation of the line that passes through the point (6,2) and is perpendicular to a line that passes through the points (-5,3) and (-1,-9

                y - 2 = ¹/₃(x - 6)      ← the point-slope form of the equation

                y = ¹/₃x                   ← the slope-intercept form of the equation

                x - 3y = 0               ← standard form of the equation

Step-by-step explanation:

The slope of line that passes through (-5, 3) and (-1, -9):

The slope of a line perpendicular to the line with the slope m₀:

The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

(6, 2)    ⇒    x₁ = 6,  y₁ = 2

So:

    y - 2 = ¹/₃(x - 6)      ← the point-slope form of the equation

y - 2 = ¹/₃x - 2               {add 2 to both sides}

y = ¹/₃x                   ← the slope-intercept form of the equation

y - ¹/₃x = 0             {multiply both sides by (-3)}

x - 3y = 0               ← standard form of the equation

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5