If rectangle ABCD with coordinates (-5, -1), (0, -1), (0, -4) and (-5, -4) is translated 5 units right, which best represents the new location?

Hello i need some with trigonometric substitutions. [tex]\int\limits^a_b {x} \, dx[/tex]

The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82

Find the maximum value of p= 4x + 5y subject to the following constraints :