"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
1 answer:
Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is
Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;
The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;
Comparing to:
The center is (-3,2) and the radius is r=2
You might be interested in
Answer:
There are five dollar bills and
ten dollar bills.
Step-by-step explanation:
Given:
Selling price of bicycle .
The friend gave five dollar bills and
ten dollar bills.
Total number of bills .
To find: Number of five dollar bills and ten dollar bills the friend gave.
Solution:
The friend gave five dollar bills and
ten dollar bills and the friend gave
bills in all.
So, .
Selling price of bicycle .
So,
Putting the value of from equation
in equation
.
Now, putting the value of in equation
.
Hence, there are five dollar bills and
ten dollar bills.
6^2 + 17 + 12
First, let's start with
. Basically, the '2' above the 6 indicates that the number appears twice in multiplying. can be described as 6 × 6 as well. 36 should be your answer for 6 squared.
Second, our problem should look like: 36 + 17 + 12. One can simply do this on a calculator or count on their fingers. Once you add all of the numbers up, you should get 65.
Answer:
First, let's start with
Second, our problem should look like: 36 + 17 + 12. One can simply do this on a calculator or count on their fingers. Once you add all of the numbers up, you should get 65.
Answer: