Twenty-five members of the eighth grade class at Park Center Middle School are going to a museum and then to lunch. Each student
2 answers:
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Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
In the given equation, we have:
The b term here is 8. Therefore:
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
The expression inside the parentheses is now a perfect square trinomial. Factor it:
And we are done!
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points through which the line passes:
We found the slope:
Substituting we have:
Thus, the equation is of the form:
We substitute one of the points and find the cut-off point:
Finally, the equation is:
ANswer: