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nikklg [1K]
2 years ago
10

Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.

Mathematics
2 answers:
ankoles [38]2 years ago
8 0
  • B(-4,-4)
  • C(-4,-1)

Distance

  • √(x_2-x_1)^2+(y_2-y_1)^2
  • √(-4+4)^2+(-1+4)^2
  • √3²
  • 3 units

Graph is attached

Paul [167]2 years ago
6 0

Answer:

BC = 3 units

Step-by-step explanation:

Given points:

  • A = (2, -2)
  • B = (-4, -4)
  • C = (-4, -1)
  • D = (-2, 3)
  • E = (1, 3)
  • F = (2, 5)

<u>Plot the points</u> on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).

From visual inspection of the <u>drawn polygon</u>, we can see that the length of BC is 3 units.

It is fairly simple to calculate the length of BC without plotting the points.

As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.

⇒ distance = |-4 - (-1)| = |-3| = 3 units

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The solution is x = 2 \text{ and } y = \frac{1}{2}

<em><u>Solution:</u></em>

Let us assume,

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<em><u>Given system of equations are:</u></em>

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<em><u>Rewrite the equation using "a" and "b"</u></em>

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<em><u>Let us solve eqn 1 and eqn 2</u></em>

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Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

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