What is the equation for the following circle? center: (12, -1), radius: V209 (-12)2 +(y +1)? = 209 (2+ 12)2- (y - 1) = 209 (r-12)-- (y- 1) = 43681
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Q: 22. Find the center and radius of the circle whose equation is x2 – 24x + 48 = -y² + 10y О С(12, 5),…
A: The solution is given as
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A: This question is related to circles and straight line, We will solve it using given information.
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A: Please consider the handwritten solution.
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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius ?
A: we have to find the radius of the circle
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Q: Find an equation of the circle that satisfies the stated conditions.
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Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.
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- Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), and G (6, 1). He has 16 units of fencing. Where could Alex place point H so that he does not have to buy more fencing?A particle traveling in a straight line with constant velocity i + j - 5k passes through the point (0, 0, 30) and hits the surface z = 2x2 + 3y2. The particle ricochets off the surface, the angle of reflection being equal to the angle of incidence. Assuming no loss of speed, what is the velocity of the particle after the ricochet? Simplify your answerCenterville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation.Centerville is located at (7,0) in the xy-plane, Springfield is at (0,5), and Shelbyville is at (0,−5). The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of xx:f(x)= ?We find that f(x) has a critical number at x=?To verify that f(x) has a minimum at this critical number we compute the second derivative f''(x) and find that its value at the critical number is ? , a positive number.Thus the…
- Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuration. Centerville is located at (15,0) in the xy-plane, Springfield is at (0,3), and Shelbyville is at (0,-3). The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. (Draw a picture of this situation).It costs $1000 per unit to lay cable along the x-axis and $1250 per unit otherwise. Write a function for the total cost of laying the cable in terms of x.Cost(x)=__________ Take the derivative of your cost function by carefully applying the chain rule.dCost/dx=__________ To find the x location that yields a minimum cost we need Calculus! Recall that if the derivative of the cost function is zero then the x is…Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be the cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuration.Centerville is located at (7,0) in the xy-plane, Springfield is at (0,5), and Shelbyville is at (0,−5). The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. 1). To solve this problem we need to minimize the following function of x:f(x)=? a). We find that f(x) has a critical number at x=? b). To verify that f(x) has a minimum at this critical number we compute the second derivative f′′(x) and find that its value at the critical number is =? (positive…An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter single-lane running track. (a) Draw a diagram that illustrates the problem. Let x and y represent the length and width of the rectangular region, respectively.(b) Determine the radius r, in terms of y, of the semicircular ends of the track. r = Determine the distance d, in terms of y, around the inside edge of the two semicircular parts of the track. d = (c) Use the result of part (b) to write an equation, in terms of x and y, for the distance traveled in one lap around the track. Solve for y. y = (d) Use the result of part (c) to write the area A of the rectangular region as a function of x. A = (e) Use a graphing utility to graph the area function from part (d). Use the graph to approximate the dimensions that will produce a rectangle of maximum area. (Round your answers to two decimal places.) x = y =
- . Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation. Centerville is located at (11,0)(11,0) in the ??xy-plane, Springfield is at (0,2)(0,2), and Shelbyville is at (0,−2)(0,−2). The cable runs from Centerville to some point (?,0)(x,0) on the ?x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (?,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.A trapezoid has sides where AB and CD are paralells. BC =2 square root 2 m, CD = 6m and angle B is bigger than 90 degrees. The distance between the two paralell sides are 2m and the area is 15m^2 How do I find angle B, BD diagonal and angle A?Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be a cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuration.Centerville is located at (10,0)(10,0) in the sexy-plane, Springfield is at (0,7)(0,7), and Shelbyville is at (0,−7)(0,-7). The cable runs from Centerville to some point (x,0)(x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of xx:f(x)= We find that f(x)f(x) has a critical number at x=To verify that f(x)f(x) has a minimum at this critical number we compute the second derivative f''(x)f′′(x) and find that its value at the…
- Find a point with z = 2 on the intersection line of the planes x + y + 3z = 6 and x - y + z= 4 . Find the point with z= 0. Find a third point halfway between.A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the origin and the point A=(0,2r), as pictured below. A line passes through the point A and the point C=(5r2,0) on the x-axis. In this problem, we will investigate the coordinates of the intersection point B between the circle and the line, as r approaches the infiniteCenterville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation.Centerville is located at (8,0) in the xy-plane, Springfield is at (0,4), and Shelbyville is at (0,-4). The cable runs from Centerville to some point (x,0) on the xx-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of x:f(x)=We find that f(x) has a critical number at x= To verify that f(x) has a minimum at this critical number we compute the second derivative f′′(x) and find that its value at the critical number is , a positive number.Thus the…