Part i: describe the center and radius of the circle.

the center is at

the radius is __ units.

part ii: use the equation below to identify the value of each variable for the circle.

standard form equation of a circle(x - h)2 + (y - v)2 = r2
(h, v) = center
r = radius length

h =__ v =__r =__

part iii: use parts i and ii to write the standard form equation of the circle.

Center (2,4) , radius=3, h=2 v=4 & r=3

Step-by-step explanation:

Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)

Now, in order to find the length of the radius, you need to do the following:

Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3

As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)

So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:

(x-2)^2 + (y-4)^2 = 9

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1