Answer:
see below
Step-by-step explanation:
The leading minus sign tells you the graph opens downward. (x-3) in the squared term tells you the x-coordinate of the vertex is x=3. The graph that matches these characteristics is shown below.
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
Answer:
1 divided by 20 is equal to 0.05.
Step-by-step explanation:
In this problem, we need to find 1 divided by 20 is equal to what.
1 should be in the numerator and 20 should be in the denominator.

Hence, 1 divided by 20 is equal to 0.05.
Step 1: Find the circumference of the circle
Formula for circumference: C = 2 * pi * r
C = 2 * pi * 27
C = 54pi
Step 2: Find the length of the desired arc
We are only looking for 20 degrees out of 360 degrees, therefore we can multiply our circumference by 20/360.
20/360 * 54pi = 3pi units
Hope this helps!