kaha47 kaha47
  • 30-08-2019
  • Mathematics
contestada

Find both points on the line y = 3 that are 10 units from (3, -3).

Respuesta :

joshlind3
joshlind3 joshlind3
  • 30-08-2019

Answer:

(11,3) and (-5,3)

Step-by-step explanation:

To find distance, we can use the distance formula. It is from the Pythagorean theorem

[tex]D = \sqrt{(x1-x2)^2+(y1-y2)^2} \\[/tex]

We can solve for the X component, because the y component will always be 3

[tex]10=\sqrt{(x-3)^2+36}\\ 10 =\sqrt{x^2-6x+45}\\ 100 = x^2-6x+45\\x^2-6x-55=0\\(x+5)(x-11)=0\\x = 11, x = -5[/tex]

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