This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the Jacobian of the transformation. x = e−r sin(6θ), y = er cos(6θ) Step 1 For the transformation x = e−r sin(6θ), y = er cos(6θ), the Jacobian is ∂(x, y) ∂(r, θ) = ∂x ∂r ∂x ∂θ ∂y ∂r ∂y ∂θ = er cos(6θ) .

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.

Maria walks a round trip of 0.75 mile to school every day.how many miles will she walk in 4.5 days

Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 enter your answers in the boxes.