Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
Answer:
13-gon
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is:
S = 180° (n − 2)
If S = 1980°, then:
1980° = 180° (n − 2)
11 = n − 2
n = 13
A) Grace is 20
B) Grace is p+5
C) Nicole is q-5
Answer: 11 people
Explanation:
Find the total people who actually drink something:
120 - 17 = 103
Find the sum of people who drink cold and soft drink:
88 + 26 = 114
Find the people who drinks both:
114 - 103 = 11 people
