Answer:
(x + 5)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form id
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus
(x - (- 5))² + (y - 4)² = 6², that is
(x + 5)² + (y - 4)² = 36
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
f(x) = √3x
g(x) = √48x
(f . g)(x) = ?
Step 02:
(f . g)(x) :
![\text{ (f.g)(x) = }\sqrt[]{3(\sqrt[]{48x)}}](https://tex.z-dn.net/?f=%5Ctext%7B%20%20%20%20%20%20%20%20%20%20%28f.g%29%28x%29%20%3D%20%7D%5Csqrt%5B%5D%7B3%28%5Csqrt%5B%5D%7B48x%29%7D%7D)
![(f.g)(x)\text{ = }\sqrt[]{3(48x)^{\frac{1}{2}}}\text{ }](https://tex.z-dn.net/?f=%28f.g%29%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%2848x%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%5Ctext%7B%20%7D)
(f.g)(x) = 12 √ x
The answer is:
(f.g)(x) = 12 √ x
Answer:
3 and 15
Step-by-step explanation:
Let's list the factors of 30:
1, 2, 3, 5, 10, 15, 30
Of these, the odd ones are:
1, 3, 5, 15
Of these, the only numbers that are multiples of 3 are 3 and 15.
In terms of X then x would be equal to -2