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Update Unit 1: Analytical Geometry.md

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James Su 2020-01-02 18:37:26 +00:00
parent f8f1c686e4
commit 2341ca22b2

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@ -10,7 +10,7 @@ $`\overline{BC} = \sqrt{(7-(-1))^2 + (2-(-4))^2} = \sqrt{64 + 36} = \sqrt{100} =
$`\overline{AC} = \sqrt{(-1-(-1))^2 + (5-(-4))^2} = \sqrt{0^2 + 9^2} = \sqrt{81} = 9`$
$`\because \overline{AB} \not= \overline{BC} \not= \overline{AC}`$
$`\because \overline{AB} =\not \overline{BC} =\not \overline{AC}`$
$`\therefore \triangle ABC`$ is a scalene triangle.
@ -207,9 +207,9 @@ $`x - 7y = -27 \quad (4)`$
Sub $`(2)`$ into $`(3)`$
$`x^2 + 10x + 25 + y^2 - 2y + 1 = x^2 + 4x + 4 + y^2`$
$`x^2 - 10x + 25 + y^2 - 2y + 1 = x^2 + 4x + 4 + y^2`$
$`10x - 2y +26 = 4x + 4`$
$`-10x - 2y +26 = 4x + 4`$
$`14x + 2y = 22`$