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marishachu [46]
3 years ago
15

Find all of the points of the form (x, −x) which are 1 unit from the origin.

Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0
To be 1 unit from the origin, points must lie on the unit circle, or 
x^2+(-x)^2=1
x=+/- sqrt(2)
If the point is restricted to the form (x,-x), then
x=sqrt(2)  => P1=(sqrt(2),-sqrt(2))
x=-sqrt(2) => P2=(-sqrt(2),sqrt(2))

Therefore there are two such points.
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Which expression does not belong with the other three? Explain your reasoning. −58−34 −34+58 −58+(−34) −34−58 This expression eq
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Answer:

The expression which doesn't belong to the other three is  (-34 + 58).

Step-by-step explanation:

Given:

Four expressions.

We have to find the odd one out.

The expressions are :

  • -58-34
  • -34+58
  • -58+(-34)
  • -34-58

We know that with same signs (operator) in addition/subtraction of an expression we we add the values and the answer remains in negative.

But with different signs on numbers we will subtract the numbers and the greater number's sign will be carried forward.

So,

  • -58-34 = -92
  • -34+58 =24
  • -58+(-34) =-58-34 =-92
  • -34-58 =-92

We can see that the second expression is not equal to the other three.

(-34 + 58) is the odd one out of the four expressions.

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Answer:

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Step-by-step explanation:

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