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Consider the points (-10, -12) and (-2, 20).
(a) State the midpoint of the line segment with the given endpoints. (No work required)
(b) If the point you found in (a) is the center of a circle, and the other two points are points on the circle, find the length of the radius of the circle. (That is, find the distance between the center point and a point on the circle.) Find the exact answer and simplify as much as possible. Show work.
A scientist has a bottle that contained 56.6mL of solution she used 3.2mL of the solution for an experiment the she poured half the solution remaining in the bottle in the beaker finally she poured 6mL of the solution remaining in the bottle ..
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 4x2+ 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.Part C: Solve 2x..
A population has a mean of u=78 and a standard deviation of 21. find the mean and standard deviation of the sampling distribution of sample means with the sample size n=49
Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 10 ft/sec and Adrian..
Given then point A= (-6,8), answer the following: (a) Find the equation for the line parallel to the y axis and passing through point A.
A student must choose one of the subjects, art, geology, or psychology, as an elective. She is equally likely to choose art or psychology and twice as likely to choose geology. What are the respective probabilities that she chooses art, geology, and ..
Suppose you invested $10,000, part 6% annual interest and the rest at 9% annual interest. If you received $684 in interest after one year, how much did you invest at each rate?
An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it..
Compute the derivative of each of the following. You need not simplify the result.
Each pair of the three lines defined by their equations y = (1/2) x - 1, y = 2x + 2 and y = -x + 2 has a point of intersection so that when put together there are three points of intersection making a triangle ABC.Show that triangle ABC is isosceles.
What would be the closest size?
Add 4x2 + 9x- 3 and x2 + x3– x4 and write the resulting polynomial in descending order.
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