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college algebra

Questions and Answers of College Algebra

Solve each formula for the specified variable. r = A 77 for A
Find the area of the trapezoid. Give the answer as a simplified radical. √24 in. √72 in. √288 in.
Simplify. Assume that all variables represent positive real numbers. V18m2
Simplify each root. √x15
Simplify each expression. Assume that all variables represent positive real numbers. 2:3/4 25/4.2-2
Divide. Give answers in standard form. 2 1-i
Find the equation of a circle satisfying the given conditions. Center (0, 0), r = 11
Solve each formula for the specified variable. V = 2K m for K
Find the perimeter of each triangle. y 0 (-3,-3) (2, 6).. TH (6,2) X
Find the distance between the points (-4, 7) and (10, 6).
Simplify. Assume that all variables represent positive real numbers. 9 3 32
Divide. Give answers in standard form. 2 1 + i
Simplify. Assume that all variables represent positive real numbers. √144x³y⁹
Simplify each expression. Assume that all variables represent positive real numbers. (x1/42/5) 20 x²
Find the equation of a circle satisfying the given conditions. Center (-2, 4), r = 3
Simplify. Assume that all variables represent positive real numbers. √169s5+10
Simplify each root. mº
Solve each formula for the specified variable. V = 2K m for m
Find the perimeter of each triangle. (-2,-4) y 0 (1, 3) ITTT (1,-2). FA X
Divide. Give answers in standard form. 8i 2 + 2i
Simplify each expression. Assume that all variables represent positive real numbers. p.² SI (ERS SA-¹) ST
Solve each formula for the specified variable. r = Mm F for M
Simplify. Assume that all variables represent positive real numbers. 12p 以
Simplify each root. √x30
Simplify. Assume that all variables represent positive real numbers. V121,6
Find the equation of a circle satisfying the given conditions. Center (-1, -3), r = 5 −1,
Simplify each expression. Assume that all variables represent positive real numbers. (x2/3)2 (x²) 7/3
Perform the indicated operations. Assume that all variables represent positive real numbers. 8√80-3√45
Divide. Give answers in standard form. -8i 1 + i
Perform the indicated operations. Assume that all variables represent positive real numbers. 2√8-3√50
Perform the indicated operations. Assume that all variables represent positive real numbers. -√27y + 2√75y
Perform the indicated operations. Assume that all variables represent positive real numbers. 2V54m³ +5V96m³
Perform the indicated operations. Assume that all variables represent positive real numbers. 3√54 +5√16
Multiply, and then simplify. (3√2+1)(2√2-3)
Perform the indicated operations. Assume that all variables represent positive real numbers. -6√32 + 512
Simplify. Assume that all variables represent positive real numbers. V13x7y8
Multiply, and then simplify. (√3+1)(√3-2)
Multiply, and then simplify. (√13-√2)²
Multiply, and then simplify. (√7+ √5)(√7 - √5)
Why does the equation x2 + y2 = -1 have no points on its graph?
Simplify. Assume that all variables represent positive real numbers. V64a¹5b12
Multiply, and then simplify. (6+ZAE-DA) (E+ZA)
Rationalize each denominator. Assume that all variables represent positive real numbers. E19- /2
Multiply, and then simplify. (4y - 1)(√4y + 3)
Rationalize each denominator. Assume that all variables represent positive real numbers. 31 7p Vy
Rationalize each denominator. Assume that all variables represent positive real numbers. 11 8
Rationalize each denominator. Assume that all variables represent positive real numbers. √6 √5
Rationalize each denominator. Assume that all variables represent positive real numbers. 1 √2+√7
Rationalize each denominator. Assume that all variables represent positive real numbers. -5 √6-3
Rationalize each denominator. Assume that all variables represent positive real numbers. 3 9 25
Write each quotient in lowest terms. 2-2V/5 8
Rationalize each denominator. Assume that all variables represent positive real numbers. 3 108m³ n³
Solve each equation. V8x + 9 = 5
Solve each equation. V2x-3-3=0
Write each quotient in lowest terms. -18 + V27 6
Solve each equation. 3√x - √10x-9 =
Solve each equation. x² + 3x + 7 = x + 2
Replace a with 3 and b with 4 to show that, in general, Va² + b² = a + b.
Solve each equation. √7x + 1 = x + 1
The following expression occurs in a standard problem in trigonometry.Show that it simplifies toThen verify, using a calculator approximation. 1 V2 √3 2 1 1 √2 2
Carpenters stabilize wall frames with a diagonal brace, as shown in the figure. The length of the brace is given bySolve this formula for H. L -W- H
Solve each equation. Vx+2- Vx-3 = 1
Solve each equation. 5x - 1 = W3x-2 -
Solve each equation. V1 - 2x -x 13 = 0 -
Solve each equation. Vr-1+2=0
Solve each equation. XZA=L+XA 2x
Carpenters stabilize wall frames with a diagonal brace, as shown in the figure. The length of the brace is given byIf the bottom of the brace is attached 9 ft from the corner and the brace is 12 ft
Simplify. Assume that all variables represent positive real numbers. EA ZA
In calculus, it is sometimes desirable to rationalize the numerator. To rationalize a numerator, we multiply the numerator and the denominator by the conjugate of the numerator. For
Simplify. Assume that all variables represent positive real numbers. 3. V/4
Write each number as a product of a real number and i. Simplify. V-200
Simplify. Assume that all variables represent positive real numbers. XA. X^
Perform the indicated operations. Give answers in standard form. V-5. V-7
Perform the indicated operations. Give answers in standard form. -25. V-81
Perform the indicated operations. Give answers in standard form. √-72 V-8
Perform the indicated operations. Give answers in standard form. (-2+5i) + (-8-7i)
Perform the indicated operations. Give answers in standard form. (5+4i)(-9-3i)
Heron’s formula for finding the area A of a triangle with sides a, b, and c iswhere s is the semiperimeter, andConsider the triangle, and work Exercises in order.Use Heron’s formula to find the
Perform the indicated operations. Give answers in standard form. (6 - 2i)²
Perform the indicated operations. Give answers in standard form. (2 + 3i)(1 - i)
Perform the indicated operations. Give answers in standard form. 3-i 2+i
Find the equation of a circle satisfying the given conditions. Center: (5,-2); radius: 4
A student incorrectly solved the following equation as shown.Solve correctly and give the solution set. x² - x - 2 = 4 (x-2)(x + 1) = 4 or x + 1 = 4 or x = 3 x - 2 = 4 x = 6
Find the distance between each pair of points. (-2.9, 18.2) and (2.1, 6.2)
Find each power of i.i11
Find each power of i.i36
Find each power of i.i-10
Find each power of i.i-8
A student was asked to solve the quadratic equation x2 = 16 and did not get full credit for the solution set {4}. Give the correct solution set.
Use the zero-factor property to solve each equation.x2 + 3x + 2 = 0
Use the zero-factor property to solve each equation.x2 + 8x + 15 = 0
Use the zero-factor property to solve each equation.3x2 + 8x - 3 = 0
Use the zero-factor property to solve each equation.2x2 + x - 6 = 0
Use the zero-factor property to solve each equation.5x2 - 7x - 6 = 0
Use the zero-factor property to solve each equation.2x2 - 5x - 3 = 0
Use the zero-factor property to solve each equation.x2 - 6x = -8
Use the zero-factor property to solve each equation.x2 - 10x = -24
Use the zero-factor property to solve each equation.2x2 = 9x - 4
Use the zero-factor property to solve each equation.5x2 = 11x - 2
Use the zero-factor property to solve each equation.8x2 + 14x + 3 = 0

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