Question 5 • Advanced Algebra: Concepts and Connections
A lighthouse is located at open paren 1 comma 2 close paren in a coordinate system measured in miles. A sailboat starts at open paren negative 7 comma 8 close paren and sails in a positive x -direction along a path that can be modeled by a quadratic function with a vertex at open paren 2 comma negative 6 close paren Which system of equations can be used to determine whether the boat comes within 5 miles of the lighthouse?
Answer
A
open paren x minus 1 close paren squared plus open paren y minus 2 close paren squared is equal to 25 y is equal to negative 14 over 81 times open paren x plus 7 close paren squared plus 8
B
open paren x minus 1 close paren squared plus open paren y minus 2 close paren squared is equal to 5 y is equal to negative 14 over 81 times open paren x plus 7 close paren squared plus 8
C
open paren x minus 1 close paren squared plus open paren y minus 2 close paren squared is equal to 25 y is equal to 14 over 81 times open paren x minus 2 close paren squared minus 6
D
open paren x minus 1 close paren squared plus open paren y minus 2 close paren squared is equal to 5 y is equal to 14 over 81 times open paren x minus 2 close paren squared minus 6