Math (Algebra) (Distance Between 2 Lines)
If real numbers a and b satisfy a^2 + b^2 = 64, what is the distance between the lines ax + by = 1 and ax + by = 417 ?
Sam measured the length of an insect. He found it was between 3 1/2 inches and 3 3/10 inches long. Write a mixed number that could be the length of the insect
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What is the maximum value of [9sinθ+2sin(θ+π/3)]^2?
Four players are playing a game involving choosing positions on a grid of size 3×8. Each player chooses a random position on the grid, then all players reveal their choices and a token is placed on each of the positions. The probability that the tokens form the vertices ...
The price of a hat is reduced by a% from its regular price, and then is raised by a% from the reduced price. If the resulting price is an 81% discount from the regular price, what is a?
θ is an acute angle such that tan(θ) = 12. What is the value of 5√5⋅(sinθ+cosθ)?
In triangle ABC, we have AB = 16, BC = 29 and CA = √1097. What is the integer that is closest to 100 sin∠ABC?
Identify six renewable (as opposed to depleted) sources of energy.
for either standard form of the parabola, describe what happens to the shape of the parabola as p increases