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xz_007 [3.2K]
3 years ago
8

100 POINTS

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

12cm²

Step-by-step explanation:

andrew-mc [135]3 years ago
8 0

Answer:

  • 21 units²

Step-by-step explanation:

<u>Given vertices: </u>

  • A(-2,-3), B(-2,4), C(4, -3)

<u>We can observe that:</u>

1. Points A and B have same x-coordinate, it means the segment AB is vertical and its length is:

  • 4 - (-3) = 7 units

2. Points A and C have same y-coordinate, it means the segment AC is horizontal and its length is:

  • 4 - (-2) = 6 units

Since AB and AC intersect at point A, the shape is  a right triangle with the base of AC and height of AB.

<u>Use area formula to find its area:</u>

  • A = 1/2bh
  • A = 1/2*6*7 = 21 units²
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Answer:

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_____

<em>Additional comment</em>

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

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