We have been given an equation of circle 
. We are asked to find the center and radius of the circle.
First of all, we will write equation of circle is standard form 
, where center of circle is at point (h,k) and radius is r.
Let us complete the square for both x and y.
Adding half the square of coefficient of x and y term, we will get:
Therefore, the center of the circle is 
and radius is 4 units.
Answer:
26.7
Step-by-step explanation:
This is the answer because 26.7/20 = (16+26.7)/32
When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.
To solve, you create a formula.
(16+x)/32=x/20
Multiply both sides by 32 to get rid of the 32 in the left side.
16+x=32x/20
Multiply both sides by 20 to get rid of the 20 right side.
320+20x=32x
-20x on both sides to get all the variables on one side and all the nukbers on the other.
320=12x
Divide both sides by 12 to get x by itself
x=26.66667
For this case we must find the quotient of the following expression:
By definition of power properties we have:
Rewriting the expression we have:
By definition of multiplication of powers of the same base we have to put the same base and add the exponents:
Answer:
(1/3)/(5)= 1/3 * 1/5 = 1/15 of a chocolate bar each friend gets
