Provide an appropriate response.Explain why the solution of a system of equations is the point of intersection of the graphs of the equations.

What will be an ideal response?


Each point on the graph corresponds to an ordered pair that is a solution of the equation. The point of intersection of the graphs of two lines corresponds to an ordered pair that is a solution of both equations and, hence, a solution of a system of equations.

Mathematics

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Solve the problem by integration.The force F (in N) applied by a stamping machine in making a certain computer part is   where x is the distance (in cm) through which the force acts. Find the work done by the force from  to 

A. 0.1306 N? cm B. 0.0067 N? cm C. 0.0403 N? cm D. 13.3621 N? cm

Mathematics

Express as the logarithm of a single expression. Assume that variables represent positive numbers.log716 +log75 - log720

A. log74
B. log7
C. log7
D. log71

Mathematics

Solve the problem. Round to the nearest tenth unless indicated otherwise.The resistance of a wire varies directly as the length of the wire and inversely as the square of the diameter of the wire. A 20 foot length of wire with a diameter of  has a resistance of  What would the resistance be for a  length, with diameter  of the same kind

of wire ? A. 368 ohms B. 375 ohms C. 372.5 ohms D. 387 ohms

Mathematics

Solve the equation.x - 3 = 

A. {3} B. {6} C. ? D. {6, 2}

Mathematics