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Questions and Answers of College Algebra

Use the determinant theorems to evaluate each determinant. 4 2 4
Use the determinant theorems to evaluate each determinant. |1 6 7
Use the determinant theorems to evaluate each determinant. |7 -3 -6 2
Use the determinant theorems to evaluate each determinant. -3 5 -2 2.
Use the determinant theorems to evaluate each determinant. 3 2
Use the determinant theorems to evaluate each determinant. -4 2 0 2
Use the determinant theorems to evaluate each determinant. 4 -1 -2 4 3 2.
Use the determinant theorems to evaluate each determinant. 6 8 -12 4 0 -8
Use the determinant theorems to evaluate each determinant. 4 4 -8 - 16
Use the determinant theorems to evaluate each determinant. |3 0 0|
Use the determinant theorems and the fact that 3to evaluate each determinant. 4 5 = 3 9 10 3. 2 4 5 -6 7 9 -11
Use the determinant theorems and the fact that 3to evaluate each determinant. 4 5 = 3 9 10 3. |1 2 3 5 11 13
Use the determinant theorems and the fact that 3to evaluate each determinant. 4 5 = 3 9 10 3. 1 20 4 50 6 7 90 10 3.
Use the determinant theorems and the fact that 3to evaluate each determinant. 4 5 = 3 9 10 3. 5 10 15 4 5 9 10
Use the determinant theorems and the fact that 3to evaluate each determinant. 4 5 = 3 9 10 3. 3 2 6 5 4 10 9
Use the determinant theorems and the fact that 3to evaluate each determinant. 4 5 = 3 9 10 3. 3 7 9 10
Evaluate the determinant. -0.3 -0.1 0.9 2.5 4.9 -3.2 -0.1 0.4 0.8
Evaluate the determinant. 0.4 -0.8 0.6 0.3 0.9 0.7 3.1 4.1 -2.8
Evaluate the determinant. |V3 V7 4 5 0 -V7 |V3 1
Evaluate the determinant. |V2 4 0 1 -V5 7 V5 1 -5
Evaluate the determinant. –1 -1 0 -1
Evaluate the determinant. |-2 0 1 0 0 -1
Evaluate the determinant. -1
Evaluate the determinant. |1
Evaluate the determinant. 5 -3 -2 -5 3 2.
Evaluate the determinant. 3 3 -1 6. -6 -6 2.
Evaluate the determinant. 3 0 -2 0
Evaluate the determinant. -2 3 10 -12
Evaluate the determinant. 7 -1 1 -7 2 -2 1
Evaluate the determinant. 10 2 1 -1 4 -1 3 -3 8 10
Evaluate the determinant. 2 -1 4 7 -2 2 4
Evaluate each determinant. -1 2 -1 4.
Evaluate each determinant. 8 -2 -4 3 5 -1 2
Evaluate each determinant. 4 -7 8 -6 3 2.
Find the cofactor of each element in the second row of each matrix. -1 4 2 3 1 -2
Find the cofactor of each element in the second row of each matrix. -1 2 3 -2 -1 4 1
Find the cofactor of each element in the second row of each matrix. -1 2 0 -3 1
Find the cofactor of each element in the second row of each matrix. 2 0 4 2 1
Refer to Exercise 11. Make a conjecture about the value of the determinant of a matrix in which one row is a multiple of another row.
Evaluate the determinant. -7 0 3 0
Evaluate the determinant. -9 7 2 6
Evaluate the determinant. 4 5 -2
Evaluate the determinant. 3 3 -1 -
Evaluate the determinant. 6 -4 -1
Evaluate the determinant. -1 -2 5 3
Evaluate the determinant. 3 -2 9
Evaluate the determinant. -5 9. 4 -1
Answer the question.What is the value of x if х -4? %3D х
Answer the question.What is the value of x if = 9?
Answer the question.What expression in x represents 3 х х
Answer the question.What expression in x represents 4 ? х х
Identify the type of graph that each equation has, without actually graphing.9x2 - 16y2 = 144
Identify the type of graph that each equation has, without actually graphing.y2 + 9x2 = 9
Write an equation for each parabola with vertex at the origin.Through the point (2, 5), opens right
Write an equation for each parabola with vertex at the origin.Through the point (-3, 4), opens up
Write an equation for each parabola with vertex at the origin.Focus (0, -3)
Write an equation for each parabola with vertex at the origin.Focus (4, 0)
Graph each parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.x2 + 2y = 0
Graph the parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.3x2 = y
Graph each parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.y2 = 2x
Graph the parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry. 2 y? = х
Graph the parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.x = 2y2 - 4y + 1
Graph the parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.x = 5y2 - 5y + 3
Graph the parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.x = -(y + 1)2 - 7
Graph the parabola. In Exercises, give the domain, range, vertex, and axis of symmetry. In Exercises, give the domain, range, focus, directrix, and axis of symmetry.x = 4(y - 5)2 + 2
Solve the problem.Graph the ellipse x2/16 + y2/12 = 1 using a graphing calculator. Trace to find the coordinates of several points on the ellipse. For each of these points P, verify that distance of
Solve the problem.Graph the hyperbola x2/4 - y2/12 = 1 using a graphing calculator. Trace to find the coordinates of several points on the hyperbola. For each of these points P, verify that distance
Solve each problem.If Ax2 + Cy2 + Dx + Ey + F = 0 is the general equation of an ellipse, find the coordinates of its center point by completing the square.
When a satellite is near Earth, its orbital trajectory may trace out a hyperbola, a parabola, or an ellipse. The type of trajectory depends on the satellite’s velocity V in meters per second. It
When a satellite is near Earth, its orbital trajectory may trace out a hyperbola, a parabola, or an ellipse. The type of trajectory depends on the satellite’s velocity V in meters per second. It
Find the eccentricity e of each conic section. The point shown on the x-axis is a focus, and the line shown is a directrix. x = -20 y (5, 20) (20, 0)
Find the eccentricity e of each conic section. The point shown on the x-axis is a focus, and the line shown is a directrix. (9, 0) || -x- (9, -7.5)
Find the eccentricity e of each conic section. The point shown on the x-axis is a focus, and the line shown is a directrix. -27, 48- r = 4 (27, 0) +H|||>
Find the eccentricity e of each conic section. The point shown on the x-axis is a focus, and the line shown is a directrix. y х--/2 (V2, 0) to х
Find the eccentricity e of each conic section. The point shown on the x-axis is a focus, and the line shown is a directrix. y x = -9 (4, 9) !(-4, 0)
Find the eccentricity e of each conic section. The point shown on the x-axis is a focus, and the line shown is a directrix. y * = 27 (-3, 8) (3, 0),
Identify and sketch the graph of each relation.3x2 + 12x + 3y2 = 0
Identify and sketch the graph of each relation.4x2 - 8x + 9y2 - 36y = -4
Identify and sketch the graph of each relation.-4x2 + 8x + y2 + 6y = -6
Identify and sketch the graph of each relation.3x2 + 6x + 3y2 - 12y = 12
Identify and sketch the graph of each relation.(x + 7)2 + (y - 5)2 + 4 = 0
Identify and sketch the graph of each relation.y2 - 4y = x + 4
Identify and sketch the graph of each relation. |(x – 4)2, (y + 1)² = 0 2. 00
Identify and sketch the graph of each relation.x2 = 4y - 8
Identify and sketch the graph of each relation.9x2 + 36y2 = 36
Identify and sketch the graph of each relation.x2 = 25 + y2
Identify and sketch the graph of the relation. y2 x2 х 4 4
Identify and sketch the graph of the relation. -1 4
Identify the type of graph that the equation has, without actually graphing.6x2 - 12x + 6y2 - 18y + 25 = 0
Identify the type of graph that the equation has, without actually graphing.4x2 - 24x + 5y2 + 10y + 41 = 0
Identify the type of graph that the equation has, without actually graphing.x2 + 2x = -4y
Identify the type of graph that the equation has, without actually graphing.x - 4y2 - 8y = 0
Identify the type of graph that each equation has, without actually graphing.2x2 - 8x + 2y2 + 20y = 12
Identify the type of graph that each equation has, without actually graphing.4(x - 3)2 + 3(y + 4)2 = 0
Identify the type of graph that each equation has, without actually graphing.11 - 3x = 2y2 - 8y
Identify the type of graph that each equation has, without actually graphing.x2 - 6x + y = 0
Identify the type of graph that each equation has, without actually graphing.x2 = 25 - y2
Identify the type of graph that each equation has, without actually graphing. |(x + 3)², (y – 2)² 16 16
Identify the type of graph that each equation has, without actually graphing. x2 4 9.
Identify the type of graph that each equation has, without actually graphing. .2 ,2 = 1 4

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