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3 years ago

"Through three points there exists one line."

Mathematics

2 answers:

Artemon [7]3 years ago

7 0

Answer:

"Though three points there exists one line."---Incorrect Statement

→"Though two points there exists one line."

This can be explained in the following way.To determine a unique line we need only two points.

→If a line passes through three points, it means these three points are collinear.

AysviL [449]3 years ago

3 0

Answer:

Through any three non collinear points(The points which do not lie on the same line ), there exists exactly one plane.

Step-by-step explanation:

We have given the postulate:

"Through three points there exists one line."

According to the three point postulate:

Through any three non collinear points(The points which do not lie on the same line ), there exists exactly one plane.

Through three non-collinear points X,Y,Z there exists exactly one plane.

The plane XYZ contains atleast three non collinear points...

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4 years ago

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

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$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

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Multiply both sides by 6

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Divide both sides by -3

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

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4 years ago

The graph shows the function f(x).

Artist 52 [7]

Answer:

Step-by-step explanation:

What we have to do here is to select a point from the graph

We can select the point (-8,1)

What this simply mean is that when x = -8, y = 1

Now, let us take a look at the second third option

f(-8) will be the cube root of -(-8) , with 1 subtracted from it

The cube root of 8 is simply 2, subtracting 1 from it will yield 1

so that makes the point (-8,1) valid

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3 years ago

Read 2 more answers

What steps do I take to solve y+2>1/2-2 and the solution

kakasveta [241]

<span>y+2>1/2-2 looks a little strange. Is it OK to combine the last 2 terms?

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3 years ago

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viktelen [127]

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Am not sure of this answer thou.

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4 years ago