ACT Math Practice Question #1622 (Hard (680)) | Test Citadel
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ACT Math Difficulty: Hard (680)

Digital ACT Math Practice Question #1622

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An ellipse is defined by the Cartesian equation \(\frac{x^2}{25} + \frac{y^2}{16} = 1\). What is the distance between its two foci?
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c = sqrt(25 - 16) = 3. Distance between TWO foci is 2c = 6.

Masterclass Solution & Distractor Trap Analysis

For an ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\) with \(a > b\), the foci lie on the major axis at distance \(c\) from the center, where \(c^2 = a^2 - b^2\). Here, \(a^2 = 25\) and \(b^2 = 16\), so \(c^2 = 25 - 16 = 9 \implies c = 3...

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

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