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For Exercises 41–54, write the equation in the form
. Then if the equation represents a
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College Algebra with Corequisite Support
- #3 It must be in the format of the second picture.arrow_forwardRecall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h, k) is the center and r is the radius. After expanding both squares, moving all terms to the left-hand side, and combining like terms, the equation can also be written in the form x² + y² + Ax+By+ C = 0, where A, B, and C are constants. a. Find an equation of the form x2 + y² + Ax+By+C =0 for the circle that passes through the points (6, 0), (2, 2), and (7,-3). To do so, find the values of A, B, and C by writing and solving a system of 3 linear equations. System: Show the steps of solving the system. Equation in Standard Form: Solution: b. Rewrite the equation found in part (a) in standard form using the technique of completing the square. c. Use your result in part (b) to determine the center and radius of the circle. Center: A = B = C = Radius:arrow_forwardFind the value of m if the points (5, 1), (-2, -3) and (8, 2m) are collineararrow_forward
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- Moulate O A + OB +BO Points 0, A=(-79,-47), B=(-83,57) 6-(27,-50) and D (30,51) A. %3D calculate AB + B Ć tCD AVarrow_forward6. Write the equation y = x² – 4x + 2 in vertex form.arrow_forwardThe parabola with equation y = ax² + bx+c intersects the x-axis in x = -3 and x = 5 and has the point (1, -80) as its vertex. Find the values for the parameters a, b and c.arrow_forward
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