Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
Here:
Thus,
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
Answer:
<em>x = -6</em>
Step-by-step explanation:
<u>Equations</u>
Solve the equation:
x + 6 = -x - 6
We must find the value of x that makes the identity above true.
Let's join all the variables on the left side and the numbers on the right side.
Adding x:
x + 6 + x = -x - 6 + x
The variables cancel out on the right side:
2x + 6 = -6
Subtracting 6:
2x + 6 - 6 = -6 -6
The 6 and -6 are canceled out:
2x = -12
Dividing by 2:
x = -12/2
x = -6
It means that the equations answers are
odd (numbers 1,3,5 ,7,9)
even numbers (2,4,6,8,10)
or neither (0 or infinity)
The first thing we must do for this case is to define variables:
We have then:
x: liz's age
y: melinda's age
We now write the system of equations:
By solving the system graphically we have that the age of each one is currently:
Next year, the age of liz is:
Answer:
Next year, Liz's age is 11 years.
Note: see attached image for the graphic solution.
