1. a machine makes bolts that are 12 mm long. the bolts are considered acceptable if they are within 0.2 mm of 12 mm. a. what is the longest the bolt can be and still be acceptable? b. what is the shortest the bolt can be and still be acceptable?

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.

During the election for class president, 40% of the students voted for kellen, and 60% of the students voted for robbie. 500 students voted in total. how many more students voted for robbie than for kellen? answer with work : )

How would you find the height of points on the circle? the topic is trigonometry.