X + x + x + x - 20 is equivalent to 4x - 20 because you can add the like terms, or the x's.
Answer:
(0, -3)
Step-by-step explanation:
Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."
Rearranging x^2+y^2+6y-72=0, we get x^2 + y^2 + 6y = 72.
x^2 is already a perfect square. Focus on rewriting y^2 + 6y as the square of a binomial: y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:
x^2 + y^2 + 6y + 9 - 9 = 72:
x^2 + (y + 3)^2 = 81
Comparing this to the standard equation of a circle with center at (h, k) and radius r,
(x - h)^2 + (y - k)^2 = r^2. Then h = 0, k = -3 and r = 9.
The center of the circle is (h, k), or (0, -3).
Answer:
y=140°
Step-by-step explanation:
Method 1.
The exterior angle theorem tells us that y=20+120=140
Method 2.
Solve for x first., then use that to solve for y.
The sum of the interior angles of a triangle is 180, so we can get x by doing 180-20-120=40.
y and x make a straight angle which is 180°, so we can get y by doing 180-40=140
