Segment ab has point a located at (5, 4). if the distance from a to b is 7 units, which of the following could be used to calculate the coordinates for point b? 7 = (x+4)2 + (y + 5)2 7= v(x + 5)2 + (y +45 7= v(x-4)2 + (y-5) 7= v(x - 5)2 + (y-4)2

A80-foot piece of siding is cut into three pieces so that the second piece is four times four times as long as the first piece and the third piece is five times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces.

Acertain population of bacteria demonstrates exponential growth doubles in size every 4 days. how long will it take the population to triple in size?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.