Answer:
Step-by-step explanation:
(x-3)^2
Answer:
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Answer:
Option A:
x^2 + (y - 2)^2 = 9
Step-by-step explanation:
We know that the equation for a circle centered in the point (a, b) and of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
So the first thing we need to find is the center of the circle.
We can see that the center is at:
x = 0
y = 2
Then the center is at the point (0, 2)
Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.
So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:
And the radius of the smaller circle is one unit.
Then, the radius of a circle centered at (0, 2) that passes through point 2 is:
R = 1 + 2 = 3
Then we have a circle centered at (0, 2) and of radius R = 3
Replacing these in the equation for a circle we get:
(x - 0)^2 + (y - 2)^2 = 3^2
x^2 + (y - 2)^2 = 9
The correct option is A
Answer:
1156
Step-by-step explanation:
We know that,
( a + b ) ² = a² + 2ab + b²
We can follow the same method to find the value of this.
12² + 22²
( 12 + 22 ) ²
12² + 2 × 12 × 22 + 22²
144 + 24 × 22 + 484
144 + 528 + 484
672 + 484
<u>1156</u>
Let me know if you have any other questions. :)