The edge of a cube was measured to be 8 cm, with a maximum possible error of 0.5 cm. use a differential to estimate the maximum possible error in computing the volume of the cube. (this next part is ungraded, just for fun. using a calculator, find the actual error in measuring volume if the radius was really 8.5 cm instead of 8 cm, and find the actual error if the radius was actually 7.5 cm instead of 8 cm. compare these errors to the answer you got using differentials).

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

When y’all answer can y’all explain too !

Elm street is straight. willard's house is at point h between the school at point s and the mall at point m. if sh = 3 miles and hm = 4.5 miles, what is the value of sm in miles?