Build and sketch each expression below as a rectangle if possible. Then write an equation showing that the area is equal to the product of its side length factors. Check by multiplying the factors to get the original expression. 1. 2x^2+7x+6
2. 6x^2+7x+2
3. x^2+4x+1
4. 2xy+6x+y^2+3y

Aline parallel to a triangle's side splits ab into lengths of x - 5 and x + 2. the other side, ac, is split into lengths of x and x + 12. what is the length of ac? a) 12 b) 24 c) 36 d)

Select the lengths in centimeters that would form a right triangle

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.