<u>Given</u>:
The equation of the circle is 
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is 
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation
to determine the center.
The given equation can be written as,

Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation
to determine the radius.
Hence, the given equation can be written as,

Comparing the two equation, we get;


Thus, the radius of the circle is 8
Answer:
Yes it is a right angled triangle
Step-by-step explanation:
If its a right triangle it would satisfy the Pythagoras theorem.
29.3^2 = 858.49
28.5^2 = 812.25
6.8^2 = 46.24
Adding the last 2 values:
812.25 + 46.24
= 858.49
So YES.
Answer:
m = -3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> = slope
<em>b</em> = y-intercept
We are given the equation y = -3x + 2. Therefore, our slope is -3 and our y-int is 2.
Answer:
7 1/2 feet
Step-by-step explanation:
The answer depends on what is meant by the "fourth term". By the binomial theorem, one answer could be

By symmetry, another could be