Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E
An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.
<h3>How to write an absolute value equation?</h3>
The absolute value function is defined by:
f(x) = x, x ≥ 0.
f(x) = x, x < 0.
It measures the distance of a point x to the origin.
For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:
|x - 82| = 3.2.
Read more absolute Value equation at; brainly.com/question/5012769
#SPJ1
Answer:
Slope=1
Step-by-step explanation:
I don't know the y intercept sorry
Answer:
slope= 11
Step-by-step explanation:
(12,23) = (x1,y1)
(14,45) = (x2,y2)
Now,
slope(m)= (y2-y1)/(x2-x1)
=(45-23)/(14-12)
=22/2
=11
Answer:
C is correct
Step-by-step explanation:
