Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other? A. 145−−−√ units B. 97−−√ units C. 5 units D. 73−−√ units

B

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)

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step-by-step explanation:

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arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: