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3 years ago

Jasper is giving four non-collinear points. How many different triangles can he draw using these points?

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

Step-by-step explanation:

There are 4 ways to ignore one of the points. The other 3 can be connected to form a triangle.

_____

More formally, the number of ways that 4 items can be chosen 3 at a time is given by ...

... C(4, 3) = 4!/(3!(4-3)!) = 4/1 = 4

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anzhelika [568]

30b+3= s

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3 years ago

9. Write The eQuaTION OF THE LINE THAT Passes THROUGH THE

lara31 [8.8K]

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Further explanation:

The general form of equation of line is:

$y=mx+b$

Given

(x1,y1) = (9,0)

(x2,y2) = (0, -6)

We have to find the slope first:

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}$

Putting the value of slope in general form

$y=\frac{2}{3}x+b$

To find the value of b, we have to put a point in the equation

Putting (9,0) in equation

$0=\frac{2}{3}(9)+b\\0=2*3+b\\0=6+b\\b=-6$

Putting the values of b and m in general form

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Keywords: Equation of line, Pount-slope form

Learn more about point-slope form at:

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3 years ago

The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?

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3 years ago

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ahrayia [7]

Answer:

No, because two points with the same y value have different values.

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