Answer:
A general line can be represented as , y= m x + c
And general equation of circle is , ax²+by²+2 g x +2 f y +c=0
Now there are following possibilities
1. A line and circle have no common point of intersection, that is no solution.
2. A line may be a tangent to a circle, that is one common point, one solution.
3. A line may intersect a circle maximum at two points, that is 2 solution.
Image is depicted below.
The answer is:
Center: (-4,-4)
Radius: 2 units.
<h2>Why?</h2>To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:
Where:
"h" and "k" are the coordinates of the center of the circle and "r" is its radius.
So, we need to complete the square for both variable "x" and "y".
The given equation is:
So, solving we have:
Now, we have that:
So,
Center: (-4,-4)
Radius: 2 units.
Have a nice day!
Note: I have attached a picture for better understanding.
Answer:
Step-by-step explanation:
sin x=a+b
cos x=a-b
sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²
or 2a²+2b²=1
a²+b²=1/2 which is constant for all values of x
(ii)
The box provides some examples of how<em> exponents can be used to shorten repeated multiplication</em>. The first, third, and fourth boxes all show how the repeated multiplication of 2, 3, and 5 can all be abbreviated as and
. The only expression which doesn't belong is
, because it's showing how repeated <em>addition</em> can be shortened to <em>multiplication</em>.