On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, negative 2) and continues up through (negative 5, 3) with an arrow instead of an endpoint. The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, negative 2) with an arrow instead of an endpoint. Which defines the piecewise function shown?

The piece wise function can be written as

The Equation of line passing through   can be given  by equation (1)

The equation of line passing through (0,-2) and (-5,3) =

Similarly the line passing through (0,0) and (4,-2) =

The first line has an open circle at (0,  -2) and continues up through (-5, 3) with an arrow instead of an endpoint.

The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint.

Hence the piece wise function can be defined by equations (2) and (3)

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Step-by-step explanation:

Find the equation of each line in Slope-Intercept form: y = mx + b

Line 1 passes through (-5, 3) and (0, -2)   -->   m = -1,  b = -2

                                                                   -->  y = -x - 2

Line 2 passes through (0, 0) and (4, -2)   -->   m = -1/2,  b = 0

                                                                   -->   y = -(1/2)x + 0

Now that you have the equations, evaluate which x-values are included.

Line 1: open dot at x = 0 and line goes to the left        -->  x < 0

Line 2: closed dot at x = 0 and line goes to the right   --> x ≥ 0

Now you have all the information you need to write the piecewise function:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13