Answer:
x = 4
Step-by-step explanation:
sin 30 = x/8
0.5 = x/8
x = 4
Johnathan works part time on weekends at the movie theater while going to school during the week. His paycheck for this pay period was $225.
When he got up to go to school Monday morning his car would not start. His dad had the car towed to the mechanic and had the car repaired. The towing bill and repair bill totaled $225.
How much did Johnathan have left from his paycheck?
$225 + (-$225) = 0
0 is the answer when you add opposites
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
It led to the beginning of the Renaissance.
