Respuesta :
Answer:
The approximate distance from the pool to the tennis courts is:
C) 3.35 miles
Step-by-step explanation:
It is given that:
On a coordinate grid, a park is located at (3,0) ande the pool is located at (-3,3).
The tennis courts are the midpoint between the park and the pool.
This means that the distance from the pool to the tennis court is half the distance between the pool and the park.
The distance between pool and park is calculated by using the distance formula as follows:
[tex]Distance\ between\ pool\ and\ park=\sqrt{(3-(-3))^2+(0-3)^2}\\\\Distance\ between\ pool\ and\ park=\sqrt{(3+3)^2+(-3)^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{6^2+3^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{36+9}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{45}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=3\sqrt{5}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=6.7082\ units[/tex]
Hence,
[tex]Distance\ from\ pool\ to\ tennis\ court=\dfrac{6.7082}{2}\\\\i.e.\\\\Distance\ from\ pool\ to\ tennis\ court=3.3541\ units[/tex]
Now, it is given that:
1 unit= 1 mile
Hence, 3.3541 unit=3.3541 miles.
Hence, the answer is: Option: C
