A city manager has a map of the city on a grid, where each unit represents 1 mi. The manager determines that the equation (x+14)2+(y−5)2=9 represents the region of the city where people can hear an emergency siren located at (-14,5) on the map. What is the greatest distance a person can be from the siren and still hear it?

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)