# Difference between revisions of "User:Geometry285"

Geometry285 (talk | contribs) (Created page with "Posting here until I find a place for an upcoming mock I’m creating {{G285 Mock Problems|year=2021|type=A}} ==Problem 1== What value of <math>x</math> minimizes <math>|2^x...") |
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<math>\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 12\qquad\textbf{(E)}\ 15</math> | <math>\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 12\qquad\textbf{(E)}\ 15</math> | ||

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+ | [[G285 MC10A Problems/Problem 2|Solution]] | ||

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+ | ==Problem 3== | ||

+ | Let <math>ABCD</math> be a unit square. If points <math>E</math> and <math>F</math> are chosen on <math>AB</math> and <math>CD</math> respectively such that the area of <math>\triangle AEF = \frac{3}{2} \triangle CFE</math>. What is <math>EF^2</math>? | ||

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+ | <math>\textbf{(A)}\ \frac{13}{9}\qquad\textbf{(B)}\ \frac{8}{9}\qquad\textbf{(C)}\ \frac{37}{36}\qquad\textbf{(D)}\ \frac{5}{4}\qquad\textbf{(E)}\ \frac{13}{36}</math> |

## Revision as of 11:58, 11 May 2021

Posting here until I find a place for an upcoming mock I’m creating

## Problem 1

What value of minimizes ?

## Problem 2

Suppose Mark wanted to arrange books onto a bookshelf, of which are math books and of which are science. If both science and math books are indistinguishable, in how many ways can Mark arrange the books on the shelf?

## Problem 3

Let be a unit square. If points and are chosen on and respectively such that the area of . What is ?