Respuesta :
The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
- First Part: x² + y² = 4²
- Second Part: √5 miles east and √5 miles west from route 26
- Third Part: 2·√5 miles
- Fourth Part: 2·(√5 - 2) miles
Reasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
Learn more here:
https://brainly.com/question/23005973
