How many solutions are there for the system of equations shown on the graph?
2 answers:
There is no solution. If there were to be one solution the lines would cross, eliminate the second one. If there were to be two solutions it would look like the attached picture below, eliminate the third one. If there were to be Infinity/many solutions then the lines would be on top of eachother, eliminate the fourth one. Now, the reason why the answer is the first provided answer (No solution) is because the lanes are completely parallel. Thus, your answer is no solution.
<em>Note: The picture below explains why the third provided answer is incorrect </em>
<em>("If there were to be two solutions it would look like the attached picture below")</em>
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Answer:
Sam is incorrect
Step-by-step explanation:
We can calculate the lengths of the diagonals using Pythagoras' identity.
The diagonals divide the rectangle and square into 2 right triangles.
Consider Δ SRQ from the rectangle
SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )
SQ = ≈ 13.4 in ( to 1 dec. place )
Consider Δ ONM from the square
OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )
OM = ≈ 8.5 in ( to 1 dec. place )
Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4
Then diagonal OM is not twice the length of diagonal SQ