Find all real solutions to the system of equations using the substitution method. -$\begin{array} { l } y = - x ^ { 2 } + 13 \\ x ^ { 2 } + y ^ { 2 } = 25 \end{array}$

A) (4, -3), (3, 4), (-3, 4), (-4, -3) B) (3, 4), (-3, 4) C) (9, 94), (16, 269) D) (4, -3), (-4, -3) A) (4, -3), (3, 4), (-3, 4), (-4, -3) B) (3, 4), (-3, 4) C) (9, 94), (16, 269) D) (4, -3), (-4, -3)

Find all real solutions to the system of equations using the addition method. -$\begin{aligned} x ^ { 2 } - 3 y ^ { 2 } & = 1 \\ 4 x ^ { 2 } + 3 y ^ { 2 } & = 19 \end{aligned}$

A) (2, 1), (-2, -1) B) (2, 1), (2, -1), (-2, 1), (-2, -1) C) (1, 2), (-1, 2), (1, -2), (-1, -2) D) (-1, 2), (1, -2) A) (2, 1), (-2, -1) B) (2, 1), (2, -1), (-2, 1), (-2, -1) C) (1, 2), (-1, 2), (1, -2), (-1, -2) D) (-1, 2), (1, -2)

Find all real solutions to the system of equations using the substitution method. -$\begin{array} { l } y = x ^ { 2 } - 10 x + 25 \\ x + y = 7 \end{array}$

A) (3, 4), (6, 1) B) (3, 10), (6, 1) C) (5, 2) D) (-3, 10), (-6, 13) A) (3, 4), (6, 1) B) (3, 10), (6, 1) C) (5, 2) D) (-3, 10), (-6, 13)

Exam 11: Conic Sections

Graph the inequality. - $\frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 1$ $Graph the inequality. - \frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 1$

(Multiple Choice)

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Question 101

Graph the equation. - $( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4$ $Graph the equation. - ( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4$

(Multiple Choice)

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Question 102

Solve the problem. -The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 38 feet and the height of the arch over the center of the roadway is 12 feet. Two trucks plan to use This road. They are both 8 feet wide. Truck 1 has an overall height of 11 feet and Truck 2 has an overall height of 10 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.

(Multiple Choice)

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Question 103

Write the equation of the circle with the given center and radius. -Center (1, 0), radius 4

(Multiple Choice)

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Question 104

Solve the problem. -A right triangle has an area of 27 square inches. The square of the hypotenuse is 117. Find the lengths of the legs of the triangle. Round your answer to the nearest inch.

(Multiple Choice)

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Question 105

Graph the equation. - $4 x ^ { 2 } + 9 y ^ { 2 } = 36$ $Graph the equation. - 4 x ^ { 2 } + 9 y ^ { 2 } = 36$

(Multiple Choice)

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Question 106

Determine the solution to the system of inequalities. - +(y-3\leq16 y>(x-1+-2 $Determine the solution to the system of inequalities. - \begin{array} { l } x ^ { 2 } + ( y - 3 ) ^ { 2 } \leq 16 \\ y > ( x - 1 ) ^ { 2 } + - 2 \end{array}$

(Multiple Choice)

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Question 107

Graph the equation. - $\frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 1$

(Multiple Choice)

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Question 108

Find all real solutions to the system of equations using the substitution method. - y=-+13 +=25

(Multiple Choice)

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Question 109

Graph the inequality. - $y < ( x + 2 ) ^ { 2 } + 3$ $Graph the inequality. - y < ( x + 2 ) ^ { 2 } + 3$

(Multiple Choice)

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Question 110

Find all real solutions to the system of equations using the addition method. - -3 =1 4+3 =19

(Multiple Choice)

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Question 111

Find all real solutions to the system of equations using the substitution method. - y=-10x+25 x+y=7

(Multiple Choice)

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Question 112

Find all real solutions to the system of equations using the substitution method. - +=41 x+y=9

(Multiple Choice)

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Question 113

Write the equation in standard form (if necessary)and determine the equations of the asymptotes. Then graph the equation. - $16 y ^ { 2 } = 4 x ^ { 2 } + 64$ $Write the equation in standard form (if necessary)and determine the equations of the asymptotes. Then graph the equation. - 16 y ^ { 2 } = 4 x ^ { 2 } + 64$

(Multiple Choice)

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Question 114

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain bothth $x ^ { 2 }$ 2 and $y ^ { 2 }$ terms, divide both terms, divide bothsides of the equation by the constant term to put the equation in a more recognizable form. - $8 x ^ { 2 } - 4 y ^ { 2 } = 4$

(Multiple Choice)

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Question 115

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain bothth $x ^ { 2 }$ 2 and $y ^ { 2 }$ terms, divide both terms, divide bothsides of the equation by the constant term to put the equation in a more recognizable form. - $x ^ { 2 } + y ^ { 2 } - 16 x = 80$

(Multiple Choice)

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Question 116

Graph the equation. - $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$

(Multiple Choice)

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Question 117

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain bothth $x ^ { 2 }$ 2 and $y ^ { 2 }$ terms, divide both terms, divide bothsides of the equation by the constant term to put the equation in a more recognizable form. - $x ^ { 2 } + y ^ { 2 } + x + y = 0$

(Multiple Choice)

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Question 118

Determine the solution to the system of inequalities. - -<1 -3x+5y>-15 $Determine the solution to the system of inequalities. - \begin{array} { l } \frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } < 1 \\ - 3 x + 5 y > - 15 \end{array}$

(Multiple Choice)

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Question 119

Find all real solutions to the system of equations using the substitution method. - y=6-5x y=2x+3

(Multiple Choice)

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Question 120

Showing 101 - 120 of 132

Graph the inequality. - $\frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 1$ $Graph the inequality. - \frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 1$

Graph the equation. - $( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4$ $Graph the equation. - ( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4$

Write the equation of the circle with the given center and radius. -Center (1, 0), radius 4

Solve the problem. -A right triangle has an area of 27 square inches. The square of the hypotenuse is 117. Find the lengths of the legs of the triangle. Round your answer to the nearest inch.

Graph the equation. - $4 x ^ { 2 } + 9 y ^ { 2 } = 36$ $Graph the equation. - 4 x ^ { 2 } + 9 y ^ { 2 } = 36$

Determine the solution to the system of inequalities. - +(y-3\leq16 y>(x-1+-2 $Determine the solution to the system of inequalities. - \begin{array} { l } x ^ { 2 } + ( y - 3 ) ^ { 2 } \leq 16 \\ y > ( x - 1 ) ^ { 2 } + - 2 \end{array}$

Graph the equation. - $\frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 1$

Find all real solutions to the system of equations using the substitution method. - y=-+13 +=25

Graph the inequality. - $y < ( x + 2 ) ^ { 2 } + 3$ $Graph the inequality. - y < ( x + 2 ) ^ { 2 } + 3$

Find all real solutions to the system of equations using the addition method. - -3 =1 4+3 =19

Find all real solutions to the system of equations using the substitution method. - y=-10x+25 x+y=7

Find all real solutions to the system of equations using the substitution method. - +=41 x+y=9

Graph the equation. - $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$

Determine the solution to the system of inequalities. - -<1 -3x+5y>-15 $Determine the solution to the system of inequalities. - \begin{array} { l } \frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } < 1 \\ - 3 x + 5 y > - 15 \end{array}$

Find all real solutions to the system of equations using the substitution method. - y=6-5x y=2x+3

Basic Concepts

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Sequences, Series, and Probability

Filters

Exam 11: Conic Sections

Graph the inequality. - (x+4)24+(y+5)216>1\frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 14(x+4)2​+16(y+5)2​>1

Graph the equation. - (x−5)2+(y+5)2=4( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4(x−5)2+(y+5)2=4

Write the equation of the circle with the given center and radius. -Center (1, 0), radius 4

Solve the problem. -A right triangle has an area of 27 square inches. The square of the hypotenuse is 117. Find the lengths of the legs of the triangle. Round your answer to the nearest inch.

Graph the equation. - 4x2+9y2=364 x ^ { 2 } + 9 y ^ { 2 } = 364x2+9y2=36

Determine the solution to the system of inequalities. - +(y-3\leq16 y>(x-1+-2

Graph the equation. - x21+y216=1\frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 11x2​+16y2​=1

Find all real solutions to the system of equations using the substitution method. - y=-+13 +=25

Graph the inequality. - y<(x+2)2+3y < ( x + 2 ) ^ { 2 } + 3y<(x+2)2+3

Find all real solutions to the system of equations using the addition method. - -3 =1 4+3 =19

Find all real solutions to the system of equations using the substitution method. - y=-10x+25 x+y=7

Find all real solutions to the system of equations using the substitution method. - +=41 x+y=9

Write the equation in standard form (if necessary)and determine the equations of the asymptotes. Then graph the equation. - 16y2=4x2+6416 y ^ { 2 } = 4 x ^ { 2 } + 6416y2=4x2+64

Graph the equation. - x216+y29=1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 116x2​+9y2​=1

Determine the solution to the system of inequalities. - -<1 -3x+5y>-15

Find all real solutions to the system of equations using the substitution method. - y=6-5x y=2x+3

Basic Concepts

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Sequences, Series, and Probability

Filters

Graph the inequality. - $\frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 1$ $Graph the inequality. - \frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 5 ) ^ { 2 } } { 16 } > 1$

Graph the equation. - $( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4$ $Graph the equation. - ( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4$

Graph the equation. - $4 x ^ { 2 } + 9 y ^ { 2 } = 36$ $Graph the equation. - 4 x ^ { 2 } + 9 y ^ { 2 } = 36$

Determine the solution to the system of inequalities. - +(y-3\leq16 y>(x-1+-2 $Determine the solution to the system of inequalities. - \begin{array} { l } x ^ { 2 } + ( y - 3 ) ^ { 2 } \leq 16 \\ y > ( x - 1 ) ^ { 2 } + - 2 \end{array}$

Graph the equation. - $\frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 16 } = 1$

Graph the inequality. - $y < ( x + 2 ) ^ { 2 } + 3$ $Graph the inequality. - y < ( x + 2 ) ^ { 2 } + 3$

Graph the equation. - $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$

Determine the solution to the system of inequalities. - -<1 -3x+5y>-15 $Determine the solution to the system of inequalities. - \begin{array} { l } \frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } < 1 \\ - 3 x + 5 y > - 15 \end{array}$