Triangle ABC is translated using the rule (x, y) → (x + 1, y − 4) to create triangle A′B′C′. If a line segment is drawn from point A to point A′ and from point B to point B′, which statement would best describe the line segments drawn? A. They share the same midpoints. B. They create diameters of concentric circles. C. They are parallel and congruent. D. They are perpendicular to each other.

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

I’ve been trying all day to figure this puzzle out. i need the work for it aswell. it is a factoring polynomials tarsia. the image is below.