sqrt(7^2 + 10.5^2) = about 12.6 blocks
I'll second what DS said.....!!!!
It means "absolute value".....it represents [in general] the distance a number is from 0 on the number line.....
For instance: abs(3) = 3 and also, abs(-3) = 3
Since distance is always positive, then abs(n) is always positive....
3(3x+10)=50-x simplify
9x + 30 = 50 - x addx to both sides, subtract 30 from both sides
10x = 20 divide both sides by 10
x = 2
Consider that the boys can be arranged in 5! ways in their respective positions and the same for the girls.
And we can either seat the boys first, or the girls first........so
5! * 5! * 2 = 120^2 * 2 = 28,800 ways
16 - 6x = 4 - 14x add 14x to both sides......subtract 16 from both sides
8x = -12 divide both sides by 8
x = -12 / 8 = -3 / 2
10 : 30 =
[5 * 2] / [ 5 * 6] =
[2 / 6] =
[1/ 3]
Nice, Solveit
Too much hot chocolate, Hayley........... :) :) :)
1. 8/9 = x/360
Multiply both sides by 360
(8/9)(360) = (360/9) * 8 = 40 * 8 = 320
4. 2/5 = j/s multiply both sides by s and we have
(2/5)s = j → j = (2/5)s
We can use the Pythagorean Theorem, here.....the diagonal length is given by:
sqrt [ 24^2 + 18^2 ] = 30 inches
