circular cardboard with an area between 154 in² and 616 in²
Radius is between 7 inches and 14 inches. ⇒ A) 7 < r < 14
√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = 4√2
D) It is irrational and equal to 4 multiplied by the square root of 2.
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
Answer:
8/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
x is the independent variable. y is the dependent variable.