An explosion has occurred in Canada. Its blast radius was a regular circle that can be modelled by the equation x2 +y2=100, where x and y are measured in km. The blast destroyed everything within the circle.
a) Canada has 4 fire stations located at the following locations (-8,10), (11,3), (6,-7) & (-4,-6). Using algebra prove which of the stations were destroyed by the explosion.
b) fireworks factory is located at (-6,-8). If fire not put out within 15 minutes it will reach the storage room causing another explosion. Which of the surviving fire stations can get trucks to the factory in time? We assume the trucks travel at an average speed of 80km/h.