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A. ½
B. -¼
C. 2
D. -2
E. -4

A. ½ B. -¼ C. 2 D. -2 E. -4-example-1

1 Answer

3 votes

Answer:

D -2

Explanation:

any triangle inscribed into a half-circle is a right-angled triangle.

that means the triangle angle at B is 90°.

so, BC and AB are always perpendicular to each other (90° crossing angle).

remember, when the original slope is y/x, then the perpendicular slope is -x/y.

so, in our case the original slope of BC is 1/2.

therefore, the perpendicular slope (the slope of AB) is then

-2/1 = -2

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