The LCM is the lowest number that is a multiple of all three numbers. First, list the multiples of each number 8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120 10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
The LCM is 120 because there is no lower number that is a multiple of all three numbers. Hope this helped!
Find slope of line A: Move into slope-intercept form y = mx+b
<span>5x + 8y = -9 8y = -5x - 9 y = (-5/8)x - 9/8
The slope of line A is -5/8.
If </span><span>Line B is perpendicular to line A, then
slope Line B = negative reciprocal of slope Line A</span> <span>slope Line B = 8/5
So like B has the equation
y = (8/5)x + b
If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b: </span> <span>y = (8/5)x + b 10 = (8/5)·10 + b</span> <span>10 = (8)·2 + b 10 = 16 + b b = -6
So line B has equation </span> <span>y = (8/5)x - 6