Difference between revisions of "2024 AMC 8"
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* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
* [[Math books]] | * [[Math books]] | ||
− | Let <math>P</math> be the parabola with equation <math>y=ax^2+bx+c</math> and let <math>Q=(d,e) | + | Let <math>P</math> be the parabola with equation <math>y=ax^2+bx+c</math> and let <math>Q=(d,e)</math>. There are real numbers <math>r</math> and <math>s</math> such that the line through <math>Q</math> with slope <math>m</math> does not intersect <math>P</math> if and only if <math>r<m<s.</math> What is <math>r+s</math>? |
Revision as of 00:04, 11 February 2024
2024 AMC 8 problems and solutions. The test is held from January 18th, 2024 to January 24th, 2024. The first link contains the full set of test problems. The second link contains the answer key. The rest contain each individual problem and its solution.
See also
2024 AMC 8 (Problems,Resources) | ||
Preceded by 2023 AMC 8 |
AMC 8 | Followed by 2025 AMC 8 |
Let be the parabola with equation
and let
. There are real numbers
and
such that the line through
with slope
does not intersect
if and only if
What is
?