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otez555 [7]
3 years ago
6

The table shows the solution to the equation|2x-5|-2=3: which is the first step

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0
|2x - 5| - 2 = 3      |add 2 to both sides

|2x - 5| = 5 ⇔ 2x - 5 = 5 or 2x - 5 = -5    |add 5 to both sides

2x = 10 or 2x = 0      |divide both sides by 2

x = 5 or x = 0
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The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan
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Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points (x_1, y_1) and (x_2,y_2) is,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Length of PQ = \sqrt{(1-1)^2+(2-6)^2}

PQ = 4

Length of PR = \sqrt{(1+4)^2+(2-2)^2}

PR = 5

Length of QR = \sqrt{(1+4)^2+(6-2)^2}

QR = \sqrt{25+16}

     = \sqrt{41}

     = 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

                                                                       = 4 + 6.4 + 5

                                                                       = 15.4 yards

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