Provide an appropriate response.Use the equation 2x2 + 5x = c to explain how to solve a quadratic equation by completing the square.

What will be an ideal response?


Divide both sides of the equation by 2. Add  to both sides of the equation. Take the square root of both sides of the equation, being careful to remember to use the positive and negative square roots of the right side. Then add -  to both sides of the equation.

Mathematics

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Solve the problem.A force of magnitude 14 pounds pulling on a suitcase makes an angle of 60° with the ground. Express the force in terms of its i and j components.

A. 0.5000i + + 0.8660j B. 7.000i + 12.12 j C. -13.33i - 4.267j D. 12.12i  + 7.000j

Mathematics

Solve the problem.A survey of 128 college students was done to find out what elective courses they were taking. Let A = the set of those taking art, B = the set of those taking basketweaving, and C = the set of those taking canoeing. The study revealed the following information.n(A) = 45n(A ? B) = 12n(B) = 55n(A ? C) = 15n(C) = 40n(B ? C) = 23n(A ? B ? C) = 2How many students were not taking any of these electives?

A. 36 B. 46 C. 38 D. 10

Mathematics

Find the indicated term for the arithmetic sequence with the first term a1 and the common difference d. Find a19 when a1 = 5, d = 3

A. 54 B. 65 C. 59 D. 62

Mathematics

Identify the parts of each expression. Choose from these labels: variable, constant, and coefficient.t + 12

A. t is a variable; 12 is a variable. B. t is a constant; 12 is a constant. C. t is a variable; 12 is a constant. D. t is a constant; 12 is a variable.

Mathematics