Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
Answer:

Step-by-step explanation:
Setting it up as a fraction will help us see the simplification process a bit easier.

a/a = 1, so they cancel each other out, leaving us with simply

Answer:
The sum is x^2 + x, the product is x^3.
Step-by-step explanation:
Adding x^2 and x leaves no like terms, so no simplification is required.
Multiplying gives x^2*x, which is x*x*x, which is then x^3
Answer:
a
Step-by-step explanation:
G(x) would involve a translation left 1 and up 1.
g(x) is written in vertex form, which is
g(x) = a(x-h)²+k, where (h, k) is the vertex. Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9). Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.