There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
When looking for the midpoint of a segment defined by two end points, the average of both coordinates are taken. Averaging the 2 x-coordinates give the new x-coordinate, and the same applies for the y-coordinate. This is shown below:
Midpoint = ( (1 + 4)/2 , (-1 + -6)/2 )
Midpoint = (2.5 , -3.5)
Attention:THIS IS PART B <em>ONLY!</em>
First,find the unit rate.
35/2 and <em>x</em>/1
35 divided by 2 = 17.5 so the unit rate for J.K. is 17.5 pages per hour.
now,R.L.
45/3 and <em>x</em>/1
45 divided by 3 = 15 so the unit rate for R.L. is 15 pages per hour
now we need to divide 355 by 17.5 and divide it by 15.Whichever quotient is smaller,finishes the book first
355 divided by 17.5 = about 20 hrs----J.K.
355 divided by 15 = about 24 hrs-----R.L.
So,who read faster?
2x3x5=30
3 is from the amount of sides in the triangle
