Triangle XYZ has vertices X(- 5, 4) , Y(- 1, - 1) , and Z(2, 3) as shown in the matrix [ matrix -5&-1&2\\ 4&-1&3 matrix ] What matrix represents the vertices of triangle X^ prime Y^ prime Z^ prime , the image of triangle XYZ after a translation of 2 units left and 6 units up ?

Ascatter plot with a trend line is shown below. which equation best represents the given data? y = x + 2 y = x + 5 y = 2x + 5

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.

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?