The distance between 0 and the point representing the real number.

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

4 0

Aka absolute value hope that is what you needed

vovangra [49]3 years ago

3 0

Answer:

absolute value

Step-by-step explanation:

It's literally absolute value, that's it.

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To the nearest thousand, the sum of 47,099 and 23,810

Sauron [17]

Answer:

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6 0

3 years ago

Give an example of a point that is the same distance from (3, 0) as it is from (7, 0). Find lots of examples. Describe the confi

Artist 52 [7]

Supposse that the distance from the point $(x,y)$ to the point $(3,0)$ is equal to the distance from $(x,y)$ to the point $(7,0)$ . Then, by the formula of the distnace we must have

$\sqrt{(x-3)^2 + (y-0)^2}=\sqrt{(x-7)^2 + (y-0)^2}$

cancel the square root and the $(y-0)^2$ 's, and then expand the parenthesis to obtain

$x^2 - 6x + 9 = x^2 - 14x + 49$

then, simplifying we obtain

$8x = 40$

therfore we must have

$x=5$

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: $(5,0), (5,7),(5,1/2), (5,-10),...$ . The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.