Geometry identify the translation rule on a coordinate plane that verifies that triangle a(-5,1), b(-2,7), c(0,1) and triangle a'(-3,2), b'(0,8), c'(2,2) are congruent. a) (x, y) → (x - 1, y + 2) b) (x, y) → (x + 2 , y + 1) c) (x, y) → (x - 2, y + 1) d) the triangles are not congruent

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

What is the expression in factored form? 3x^2 + 18x + 24 a. 3(x+2)(x+4) b. 3(x-2)(x+4) c. 3(x-2)(x-4) d. 3(x+2)(x-4)

(-y to the power of 2 - 4y- to the power of 2 -6 y +3)