ACT Math Practice Question #2075 (Hard (620)) | Test Citadel
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ACT Math Difficulty: Hard (620)

Digital ACT Math Practice Question #2075

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What are the slopes of the asymptotes for the hyperbola x^2 / 4 - y^2 / 49 = 1?
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Slope = +- b/a = +- sqrt(49)/sqrt(4) = +- 7/2.

Masterclass Solution & Distractor Trap Analysis

For a horizontal hyperbola x^2/a^2 - y^2/b^2 = 1, the asymptotes are y = +- (b/a)x. Here a = 2 and b = 7, so slope = +- 7/2....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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