Three points are collinear.
2 answers:
Answer:
Three points are collinear if they belong to the same line. Also if their Determinant equals zero.
Step-by-step explanation:
Suppose we have A (-6, 2) B(-3,-1) and D(-5, 1). Are they collinear?
Well, let's plug in the values in a Matrix and then calculate its Determinant this way:
Plug ig the values for x, y and complete it with 1 in the 3rd column.
Applying:
Det==0
Doing the calculation, the Determinant equals zero, what gives us an Analytical Geometry proof of its collinearity.
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Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Step-by-step explanation:
1. Let's call the amount he got paid per hour at his job as a cashier: .
Let's call the amount he got paid per hour at his job delivering newspapers: .
2. Keeping on mind the information given in the problem above, you can make the following system of equations:
3. You can solve it by applying the Substitution method, as following:
- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.
- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.
4. Therefore, you have:
Then:
Finally:
Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.