Let​ T: be a linear transformation determined by the matrix A ​, where​ a, b, and c are positive numbers. Let S be the unit ball whose bounding surface has the equation . Complete parts a and b below. a. Show that​ T(S) is bounded by the ellipsoid with the equation . Create a vector that is within set S and create vector . How should these vectors and matricies be​ used? A. Set equal to . Multiply the matrix by the vector . B. Set A equal to . Multiply the vector by vector . C. Set equal to A. Multiply the matrix A by the vector . D. Set equal to A. Multiply the matrix A by the vector .

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Labc is reflected across x = 1 and y = -3. what are the coordinates of the reflection image of a after both reflections?

Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. after tax the total is 45.99. what percentage of the subtotal is the total?