Part a
two rock climbers, jim and karen, use safety ropes of simi-lar length. karen's rope is more elastic, called a dynamic rope by climbers. jim has a static rope, not recommended for safety purposes in pro climbing. karen falls freely about 2.0 m and then the rope stops her over a distance of 1.0 m. (figure 1)
part a
estimate how large a force (assume constant) she will feel from the rope. express the result in multiples of her weight.
express your answer using two significant figures.
f =

Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4? a.)y-3 = 1/16 (x-2)^2 b.)y+3 = -1/16 (x+2)^2 c.)x-2 = 1/16 (y-3)^2

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.

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?