Question

find all the points of the form (x,-x) which are 1 unit from the origin

Answer 1

i know to use the distance formula do i set the d=1?

Answer 2

x^2 + ( -x)^2 = 1^2

x² + x² = 1 and then? @ninab731

r = 1 because the circle has center at the origin and the points you are looking for are 1 unit from the origin and of the form (x,-x)

Answer 3

What does x² + x² equal when you add them?

Answer 4

2x^2

Answer 5

So, 2*x² = 1

What does just x² equal?

Answer 6

Divide both sides of this --> 2*x² = 1 by 2.

What is 2*x² divided by 2 ?

Answer 7

x^2=1/2?

Answer 8

Correct.

Answer 9

Then, x = ± √(1/2).

Does that need to be rationalized? Does your teacher prefer that?

Answer 10

the answer is in the book as \[(\frac{ \sqrt{2} }{ 2},- \frac{ \sqrt{2} }{ 2 }), (-\frac{ \sqrt{2} }{ 2 },\frac{ \sqrt{2} }{ 2 }\]

Answer 11

v