Answer:
Supplementary Angles.
Two Angles are Supplementary when they add up to 180 degrees. Notice that together they make a straight angle. But the angles don't have to be together.
Answer:
-1/6
Step-by-step explanation:
= 1/3 (-1-1) x -1/4 (-1)
= 1/3 (-2) x 1/4
= -2/3 x 1/4
= -2\12
2 and 12 can cancel out each other.
so the answer will be.
= -1/6.
Lily and sabring make extra pocket money by paint gradden shed lily can paint
X² + 8x +y² - 2y -64 =0
We see that the equation has x² and y² . Also we see that coefficients in front of x² and y² are equal. So this is an equation of the circle.
(x² + 8x) +(y² - 2y) -64 =0
(x² + 8x) +(y² - 2y) = 64
We need to complete square for x and y groups, that means it should be written in form (a+b)² or (a-b)².
Expressions in parenthesis we will write as a²+/-2ab+b², to write it after as (a+/-b)², because a²+/-2ab+b² = (a+/-b)²
(x² + 2*4x) +(y² - 2*1y) = 64
(x² + 2*4x+4²) +(y² - 2*1y+1²) = 64+4²+1²
(x+4)² + (y-1)²= 81 Sometimes this is called a standard form of the circle.
(x+4)² + (y-1)²= 9² Sometimes it is required to write like this.
And if you are studying circles,ellipses and hyperbolas, the standard form should look like