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MA_775_DIABLO [31]
3 years ago
8

What's the slope of A(-10,6),B(-5,8)

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

\frac{2}{ - 5}

Step-by-step explanation:

\frac{(y1 - y2}{x1 - x2}  \\  =  \frac{6 - 8}{ - 10 - ( - 5)}  \\  =  \frac{2}{ - 10 + 5}  \\  =  \frac{2}{ - 5}

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What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

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