Problem 1GA Problem 2GA Problem 3GA Problem 1RE: For Exercises 1-2, find the distance between the two points by using the distance formula. ( − 6 , 3... Problem 2RE: For Exercises 1-2, find the distance between the two points by using the distance formula.
2. and
Problem 3RE: Find x such that ( x , 5 ) is 5 units from ( 2 , 9 ) Problem 4RE: 4. Find x such that is 3 units from
Problem 5RE Problem 6RE: For Exercises 5–8, find the center and the radius of the circle.
6.
Problem 7RE Problem 8RE: For Exercises 5–8, find the center and the radius of the circle.
8.
Problem 9RE Problem 10RE: For Exercises 10–13, write the equation of the circle in standard form by completing the square. x 2... Problem 11RE Problem 12RE Problem 13RE Problem 14RE Problem 15RE Problem 16RE: For Exercises 16–17, find the midpoint of the segment with the given endpoints.
16. and
Problem 17RE: For Exercises 16–17, find the midpoint of the segment with the given endpoints. ( 0 , 9 ) and ( − 2... Problem 18RE: For Exercises 18–21, determine whether the axis of symmetry is vertical or horizontal and if the... Problem 19RE: For Exercises 18–21, determine whether the axis of symmetry is vertical or horizontal and if the... Problem 20RE: For Exercises 18–21, determine whether the axis of symmetry is vertical or horizontal and if the... Problem 21RE: For Exercises 18–21, determine whether the axis of symmetry is vertical or horizontal and if the... Problem 22RE: For Exercises 22–25, determine the coordinates of the vertex and the equation of the axis of... Problem 23RE: For Exercises 22–25, determine the coordinates of the vertex and the equation of the axis of... Problem 24RE: For Exercises 22–25, determine the coordinates of the vertex and the equation of the axis of... Problem 25RE: For Exercises 22–25, determine the coordinates of the vertex and the equation of the axis of... Problem 26RE: For Exercises 26–29, write the equation in standard form or.
Then identify the vertex and axis of... Problem 27RE: For Exercises 26–29, write the equation in standard form or.
Then identify the vertex and axis of... Problem 28RE: For Exercises 26–29, write the equation in standard form y = a ( x − h ) 2 + k or x = a ( y − k ) 2... Problem 29RE: For Exercises 26–29, write the equation in standard form y = a ( x − h ) 2 + k or x = a ( y − k ) 2... Problem 30RE: For Exercises 30–31, identify the x- and y-intercepts. Then graph the ellipse.
30.
Problem 31RE: For Exercises 30–31, identify the x- and y-intercepts. Then graph the ellipse. x 2 + 4 y 2 = 36 Problem 32RE: For Exercises 32–33, identify the center of the ellipse and graph the ellipse. ( x − 5 ) 2 4 + ( y +... Problem 33RE: For Exercises 32–33, identify the center of the ellipse and graph the ellipse.
33.
Problem 34RE: For Exercises 34–37, determine whether the transverse axis of the hyperbola is horizontal or... Problem 35RE: For Exercises 34–37, determine whether the transverse axis of the hyperbola is horizontal or... Problem 36RE: For Exercises 34–37, determine whether the transverse axis of the hyperbola is horizontal or... Problem 37RE: For Exercises 34–37, determine whether the transverse axis of the hyperbola is horizontal or... Problem 38RE: For Exercises 38–39, graph the hyperbola by first drawing the reference rectangle and the... Problem 39RE: For Exercises 38–39, graph the hyperbola by first drawing the reference rectangle and the... Problem 40RE: For Exercises 40–43, identify the equations as representing an ellipse or a hyperbola.
40.
Problem 41RE: For Exercises 40–43, identify the equations as representing an ellipse or a hyperbola. x 2 16 + y 2... Problem 42RE: For Exercises 40–43, identify the equations as representing an ellipse or a hyperbola. x 2 4 + y 2 1... Problem 43RE: For Exercises 40–43, identify the equations as representing an ellipse or a hyperbola.
43.
Problem 44RE: For Exercises 44–47, a. Identify each equation as representing a line, a parabola, a circle, an... Problem 45RE: For Exercises 44–47,
a. Identify each equation as representing a line, a parabola, a circle, an... Problem 46RE: For Exercises 44–47, a. Identify each equation as representing a line, a parabola, a circle, an... Problem 47RE: For Exercises 44–47,
a. Identify each equation as representing a line, a parabola, a circle, an... Problem 48RE: For Exercises 48–53, solve the system of nonlinear equations by using either the substitution... Problem 49RE: For Exercises 48–53, solve the system of nonlinear equations by using either the substitution... Problem 50RE: For Exercises 48–53, solve the system of nonlinear equations by using either the substitution method... Problem 51RE: For Exercises 48–53, solve the system of nonlinear equations by using either the substitution method... Problem 52RE: For Exercises 48–53, solve the system of nonlinear equations by using either the substitution method... Problem 53RE: For Exercises 48–53, solve the system of nonlinear equations by using either the substitution method... Problem 54RE: For Exercises 54–59, graph the solution set to the inequality.
54.
Problem 55RE: For Exercises 54–59, graph the solution set to the inequality. x 2 25 + y 2 4 > 1 Problem 56RE: For Exercises 54–59, graph the solution set to the inequality.
56.
Problem 57RE: For Exercises 54–59, graph the solution set to the inequality.
57.
Problem 58RE: For Exercises 54–59, graph the solution set to the inequality. y > ( x − 1 ) 2 Problem 59RE: For Exercises 54–59, graph the solution set to the inequality. x 2 − y 2 4 ≤ 1 Problem 60RE: For Exercises 60–61, graph the solution set to the system of nonlinear inequalities. y > 2 x x 2 + y... Problem 61RE: For Exercises 60–61, graph the solution set to the system of nonlinear inequalities. y < x 2 x 2 + y... Problem 1T: 1. Use the distance formula to find the distance between the two points and
Problem 2T Problem 3T Problem 4T Problem 5T: 5. Find the center of the circle that has a diameter with endpoints
Problem 6T: Determine the vertex and the equation of the axis of symmetry. Then graph the parabola. x = − ( y −... Problem 7T: Write the equation in standard form y = a ( x − h ) 2 + k , and graph the parabola. y = x 2 + 4 x +... Problem 8T: 8. Graph the ellipse.
Problem 9T: 9. Graph the ellipse.
Problem 10T: Graph the hyperbola. y 2 − x 2 4 = 1 Problem 11T: For Exercises 11–12, solve the system and identify the correct graph. 16 x 2 + 9 y 2 = 144 4 x − 3 y... Problem 12T: For Exercises 11–12, solve the system and identify the correct graph.
12.
Problem 13T: Describe the circumstances in which a nonlinear system of equations can be solved by using the... Problem 14T: 14. Solve the system by using either the substitution method or the addition method.
Problem 15T: For Exercises 15–18, graph the solution set.
15.
Problem 16T: For Exercises 15–18, graph the solution set.
16.
Problem 17T: For Exercises 15–18, graph the solution set. x < y 2 + 1 y > − 1 3 x + 1 Problem 18T: For Exercises 15–18, graph the solution set. y < x y > x − 2 x > 0 Problem 1CRE: Solve. 5 ( 2 y − 1 ) = 2 y − 4 + 8 y − 1 Problem 2CRE: Solve the inequality. Graph the solution and write the solution in interval notation. 4 ( x − 1 ) +... Problem 3CRE: The product of two integers is 150. If one integer is 5 less than twice the other, find the... Problem 4CRE: For 5 y − 3 x − 15 = 0 , a. Find the x- and y-intercepts. b Find the slope. c. Graph the line. Problem 5CRE: Find the slope and y-intercept of 3 x − 4 y = 6. Problem 6CRE: 6. A collection of dimes and quarters has a total value of $2.45. If there are 17 coins, how many of... Problem 7CRE: Solve the system. x + y = − 1 2 x − z = 3 y + 2 z... Problem 8CRE: 8. Solve the system.
Problem 9CRE: Solve by using the Gauss-Jordan method. 3 x − 4 y = 6 x + 2 y = 12 Problem 10CRE: 10. For find the function values and.
Problem 11CRE: 11. Solve the inequality.
Problem 12CRE: 12. The quantity z varies jointly as y and as the square of x. If z is 80 when x is 5 and y is 2,... Problem 13CRE: 13. For find
Problem 14CRE: a. Find the value of the expression x 3 + x 2 + x + 1 for x = − 2 b. Factor the expression x 3 + x 2... Problem 15CRE: Factor completely. x 2 − y 2 − 6 x − 6 y Problem 16CRE: 16. Multiply.
Problem 17CRE: Solve. 2 x ( x − 7 ) = x − 18 Problem 18CRE: Simplify. 3 a 2 − a − 2 3 a 2 + 8 a + 4 Problem 19CRE: Subtract. 2 x + 3 − x x − 2 Problem 20CRE: 20. Solve.
Problem 21CRE Problem 22CRE: For Exercises 22–23, perform the indicated operations with complex numbers.
22.
Problem 23CRE: For Exercises 22–23, perform the indicated operations with complex numbers.
23.
Problem 24CRE: Find the length of the missing side. Problem 25CRE: An automobile starts from rest and accelerates at a constant rate for 10 sec. The distance, d ( t )... Problem 26CRE: Solve the equation 125 w 2 + 1 = 0 by factoring and using the quadratic formula. (Hint: You will... Problem 27CRE: 27. Solve.
Problem 28CRE: 28. Find the coordinates of the vertex of the parabola defined by by completing the square.
Problem 29CRE: Graph the quadratic function defined by g ( x ) = − x 2 − 2 x + 3 a. Label the x-intercepts. b.... Problem 30CRE: 30. Solve the inequality and write the answer in interval notation.
Problem 31CRE: Solve the inequality. | 2 x − 5 | ≥ 4 Problem 32CRE: Write the expression in logarithmic form. 8 5 / 3 = 32 Problem 33CRE: Solve. 5 2 = 125 x Problem 34CRE: 34. For
Problem 35CRE Problem 36CRE: 36. Graph the ellipse.
Problem 37CRE: 37. Determine the center of the circle, given the endpoints of a diameter.
Problem 38CRE: 38. Solve the system of nonlinear equations.
Problem 39CRE: 39. Graph the solution set.
Problem 40CRE: Graph the solution set to this system. y > ( 1 2 ) x x < 0 format_list_bulleted