Someone just robbed a bank. the police set a triangular perimeter of 16 kilometers where the robber may be hiding. two of the three coordinates for this triangular perimeter are (2,2) and (-2,-1). the area covered is 12 square kilometers. which of the following is the third coordinate of the triangular perimeter?

a. (2,-4)
b. (-2,4)
c. (2,8)
d. (6, -4)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

false

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