1. GEOMETRY What are the dimensions of a rectangular tract of land if its

perimeter is 44 kilometers and its area is 120 square kilometers?

2. GEOMETRY What are the dimensions of an isosceles right triangle with a two-inch

hypotenuse and an area of 1 square inch?

3. In

order to solve a system of equations by substitution, you must always solve for

in one of the two equations and then back-substitute.

4. If a

system consists of a parabola and a circle, then the system can have at most

two solutions.

5. GRAPHICAL REASONING Use a graphing utility to

graph and in the same viewing window.

1. GEOMETRY What are the dimensions of a rectangular tract of land if its

perimeter is 44 kilometers and its area is 120 square kilometers?

2. GEOMETRY What are the dimensions of an isosceles right triangle with a two-inch

hypotenuse and an area of 1 square inch?

3. In

order to solve a system of equations by substitution, you must always solve for

in one of the two equations and then back-substitute.

4. If a

system consists of a parabola and a circle, then the system can have at most

two solutions.

5. GRAPHICAL REASONING Use a graphing utility to

graph and in the same viewing window.

Use the zoom and trace features to find the coordinates of the

point of intersection. What is the relationship between the point of

intersection and the

solution found in Example 1?

Q287;

1. GRAPHICAL REASONING Use a graphing utility to graph the two equations in Example 3, and

in the same viewing window. How many solutions do you think this system has?

Repeat this experiment for the equations in Example 4. How many solutions does

this system have? Explain your reasoning.

2. THINK ABOUT IT When solving a system of equations by substitution, how do you

recognize that the system has no solution?

3. Find

equations of lines whose graphs intersect the graph of the parabola at (a) two

points, (b) one point, and (c) no points. (There is more than one correct answer.)

Use graphs to support your answers.

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