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Explanation:
You can use the distance formula
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A shorter method is to subtract the y coordinates and apply absolute value
So either |-4-18| = |-22| = 22
Or, |18 - (-4)| = |18+4| = |22| = 22
This method only works because the x coordinates are the same. We can also use this method if the y coordinates were the same with the x coordinates being different.
Answer:
Step-by-step explanation:
You have the following functions:
Therefore indicates that you must divide both functions, as you can see below:
Simplify it. Therefore, you obtain:
Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
Answer:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y>x/4−3/2
Step-by-step explanation:
