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.
Answer:
15 inches
Step-by-step explanation:
The area of a circle is pi r^2. We basically have to work backwards. I divided it fist by 3.14 which is the value of pi. I got 225.127, but I rounded it to 225. I found the square root of this which is 15. If we check the work. 15^2 is 225, and 225 times pi is 706.9.
Answer:
3,444
Step-by-step explanation:
The art teacher had 1321 pipe cleaners for a project
She used 477 with the fourth age
A parent donated 2,600 pipe cleaners
Therefore the number of pipe cleaners she have left can be calculated as follows
= 1321-477+2600
= 844 + 2600
= 3,444
Answer:
12.6cm
Step-by-step explanation:
