-1 is the answer or your answer is gonna be false
Answer:
49
Step-by-step explanation:
When you look at the square of a binomial, you see ...
(x +a)^2 = x^2 +(2a)x +a^2
The constant value (a^2) is <em>the square of half the x-coefficient</em>.
(14/2)^2 = 49 . . . . the value to be added.
Adding 49 gives ...
x^2 +14x +49 = (x +7)^2
Option A:
![(x-5)^{2}+(y-3)^{2}=16](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%2B%28y-3%29%5E%7B2%7D%3D16)
Solution:
Given data:
Center of the circle is (5, 3).
Radius of the circle = 4
To find the equation of the circle:
The general form of the equation of a circle in centre-radius format is
![(x-h)^{2}+(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
where (h, k) is the centre of the circle and r is the radius of the circle.
Substitute the given values in the equation of a circle formula:
![(x-5)^{2}+(y-3)^{2}=4^{2}](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%2B%28y-3%29%5E%7B2%7D%3D4%5E%7B2%7D)
![(x-5)^{2}+(y-3)^{2}=16](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%2B%28y-3%29%5E%7B2%7D%3D16)
The equation of the given circle is
.
Hence Option A is the correct answer.
Answer:
w+14,
Step-by-step explanation: