Theorem 3. Let p E Z with p > 1. Suppose every integer n, with 2 < n < VP, does not divide p. Then p is prime.

13. Suppose two 5-meter poles are fixed to the ground in upright position [in red], one in San Diego, CA and the other 392 miles due east near Phoenix, AZ. Assume both lie on the earths equa- tor. Suppose at noon the pole in San Diego casts NO shadow, while the pole in Phoenix casts a shadow of 0.51 meters [in blue]. Based on this information and the diagram shown, se- lect the true statement/s, assume r is unknown, and refers to the radius of the earth, assume approximations are acceptable where appropriate. Assume 0 refers to angle ZLDE and as- sume the world is perfectly round. A B A E D sunlight the radius of the earth, r≈ 3617.33 miles B 05.82403° C The portion of the circumference of the earth from one pole to the other is 392 miles D E F G H I 0 = tan-1 r = 0.51 5 392 5.82403° 2πT 360° -miles not enough information is given to estimate the ra- dius of the earth The portion of the circumference of the earth from one pole to the other is 5.82403° 360° 2πr 392miles = 5.82403° 360⁰…

2. A power line runs from A(-4,-5) to (6, 1). The City is running another power line, and it must be the right bisector of AB. Determine the equation for the right bisector of AB. Express the equation is in standard form. Include a sketch and label it. Remember, the sketch is to help you visualize the problem. Do NOT use the diagram to determine important information!! You must do the calculations!!

The answer for this question is wrong :) Please correct it! By the way the steps for this question is too complex, I have attached the solution to the question! By the way, thank you again for providing such a great website with free resources! It really helped! (No sarcasm :) )

A red and a blue car leave Bellevue at the same time. The red car drives south and the blue car drives west. The red car is going 65 kilometers per hour and the blue car is going 75 kilometers per hour. The day is sunny. After 4 hours, a) how far apart are the cars? kilometers b) how fast is the distance between the cars changing? km/hr (Enter each answer as decimal rounded to 2 places.) Show all work, including a drawing labeled with the variables you are using.