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Georgia [21]
3 years ago
5

Simplify ; √12 - 7√75

Mathematics
1 answer:
BigorU [14]3 years ago
5 0
\sqrt{12} = 2 \sqrt{3} and 7 \sqrt{75} = 35 \sqrt{3}.  Thus, 2 \sqrt{3} - 35\sqrt{3} = -33\sqrt{3}.
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Read 2 more answers
NO LINKS!! Please help me with these graphs​
Stella [2.4K]

Answer:

  • square: 9 square units
  • triangle: 24 square units

Step-by-step explanation:

Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.

<h3>Square</h3>

The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.

For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.

The area of the square is 9 square units.

<h3>Triangle</h3>

The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.

The area of the triangle is 24 square units.

__

<em>Additional comment</em>

We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.

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1 year ago
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