3 years ago

Graph the equation 4x+8y=16 (please write down the coordinates too)

Mathematics

1 answer:

Inga [223]3 years ago

8 0

The coordinates are 0,2 and 4,0

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In this 2x3 grid, each lattice point is one unit away from its nearest neighbors. A total of 14 isosceles triangles(but not righ

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The area of a shape is the amount of space it can occupy.

<em>The number of isosceles triangle in the grid is: </em> $\mathbf{\frac{2x^2}{u^2}}$ <em />

The dimension of the grid is given as:

$\mathbf{Dimension = x\ by\ x}$

Calculate the area

$\mathbf{A_1 = x\ \times \ x}$

$\mathbf{A_1 = x^2}$

The area of each isosceles triangle is given as:

$\mathbf{A_2 = \frac 12u^2}$

The number (n) of the triangle in an x-by-x grid is:

$\mathbf{n = A_1 \div A_2}$

So, we have:

$\mathbf{n = x^2 \div \frac 12u^2}$

Express as products

$\mathbf{n = x^2 \times \frac{2}{u^2}}$

$\mathbf{n = \frac{2x^2}{u^2}}$

Hence, the number of isosceles triangle in the grid is: $\mathbf{\frac{2x^2}{u^2}}$