Mathematics, 13.01.2020 06:31 Fire1099

find the area of a triangle whose vertices are (0,,,8).

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Answer from: mayahgrimes

The area of triangle is 48.

Step-by-step explanation:

Given:

The vertices of triangle are (0,0),(12,0),(2,8).

Now, to find the area of triangle.

So, the coordinates of triangle are:

$A(x_1,y_1)=(0,0)\:,\:B(x_2,y_2)=(12,0)\:and\:C(x_3,y_3)=(2,8)$ .

Now, to get the area of triangle we put formula:

$Area\,of\,triangle\,=\,\frac{1}{2}\left|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\right|$

$Area\,of\,triangle\,=\,\frac{1}{2}\left|0(0-8)+(12)(8-0)+2(0-0)\right|$

$Area\,of\,triangle\,=\,\frac{1}{2}\left|0\times -8+12\times 8+2\times 0\right|$

$Area\,of\,triangle\,=\,\frac{1}{2}\left|0+96+0\right|$

$Area\,of\,triangle\,=\,\frac{1}{2}\left|96\right|$

$Area\,of\,triangle\,=\,\frac{1}{2}\times 96$

$Area\,of\,triangle\,=\,\frac{96}{2}$

$Area\,of\,triangle\,=\,48.$

Therefore, the area of triangle is 48.

Answer from: Quest

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

Which linear function has the steepest slope

Answer from: Quest

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total value of u.k. shipments for

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(continued on page 79)

step-by-step explanation:

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