Tutor profile: Sruthi J.
A rectangle with base x and height y has a perimeter of 120 ft. Express the area A of the rectangle as a function of x.
1. We know that A=xy for a rectangle. 2. P=2x+2y=120, so x+y=60 and therefore y=60-x. 3. Substituting back gives A=x(60-x)=60x-x^2.
Use the words he – (to) write – letters and form questions in the given tenses. Simple present: Present progressive:
Simple present: Does he write letters? Present progressive: Is he writing letters?
Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
According to order of operations, inner brackets first. Hence |4 - 8(3 - 12)| - |5 - 11| = |4 - 8*(-9)| - |5 - 11| According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence = |4 + 72| - |5 - 11| = |76| - |-6| = 76 - 6 = 70
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