Question

question 1.
a mobile veterinarian serves the tampa bay area and is stationed at the point (6, 12) on the coordinate plane and can be represented by the equation
$(x - 6)^{2}+(y - 12)^{2}=64$, where one unit represents one mile.
what is the maximum distance a customer can be from where the veterinarian is stationed?
a. 8 miles
b. 16 miles
c. 12 miles
d. 6 miles

Explanation:

Step1: Ecuación de la circunferencia

La ecuación estándar de una circunferencia es \((x - h)^2+(y - k)^2=r^2\), donde \((h,k)\) es el centro y \(r\) es el radio.

Step2: Identificar \(r^2\) y calcular \(r\)

Dada la ecuación \((x - 6)^2+(y - 12)^2 = 64\), se tiene \(r^2=64\). Entonces \(r=\sqrt{64}\).

$$r = 8$$

Answer:

A. 8 miles