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study help
mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. √₁²
Solve each equation. √x-8+2=0
Multiply. Give answers in standard form. 2 (4 + 5i) ²
Simplify each root. (-2)6
Simplify. Assume that all variables represent positive real numbers. 108a8b5
Rationalize each denominator. Assume that all variables represent positive real numbers. 150m5 nº
Simplify each root. V(-4)6
Simplify. -16
Solve each equation. Vr+1+1=0
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. V.x20
Perform the indicated operations. Assume that all variables represent positive real numbers. 3. m³ 27 2m. m2 64
Multiply. Give answers in standard form. (3 + 2i)²
Simplify. Assume that all variables represent positive real numbers. 632r814
Perform the indicated operations. Assume that all variables represent positive real numbers. √ - a 16 2a. 5a. a 81
Multiply. Give answers in standard form. 2i(-4-i)²
Rationalize each denominator. Assume that all variables represent positive real numbers. 987-3 55 S
Simplify. -250
Write each radical as an exponential and simplify. Assume that all variables represent positive real numbers. .50
Simplify. Assume that all variables represent positive real numbers. y3 144
Simplify each root. (-9)5
Simplify. -512
Solve each equation. 2k5+4= 0
Rationalize each denominator. Assume that all variables represent positive real numbers. 288x7 9
Multiply. Give answers in standard form. 3i(-3-i)²
Perform the indicated operations. Assume that all variables represent positive real numbers. 3. 3 2 ts 4. 5 -9
Rationalize each denominator. Assume that all variables represent positive real numbers. 2421⁹ Vull 11
Simplify each root. √(-8)5
Solve each equation. 8z3+2=0
Simplify. Assume that all variables represent positive real numbers. m 15 V 27
Perform the indicated operations. Assume that all variables represent positive real numbers. 4 3 -4. +3. 3 9 712
Simplify. - 1250
Simplify each expression. Assume that all variables represent positive real numbers.31/2 · 33/2
Simplify each expression. Assume that all variables represent positive real numbers.64/3 · 62/3
Multiply. Give answers in standard form. (12+ 3i) (12-3i)
Simplify each root. (-5)6
Simplify. Assume that all variables represent positive real numbers. 3 100
Solve each equation. √/p² + 2r + 8 = √√√r² + 3r + 12
Simplify. Assume that all variables represent positive real numbers. Vx. Vx
From Exercises 101 and 102, the nonreal complex solutions of the equationare 1 + 5i and 1 - 5i. What do we call two complex numbers a + bi and a - bi?Data from in Exercises 101Show that 1 + 5i is a solution of x2 - 2x + 26 = 0.Exercises 102Show that 1 - 5i is a solution of x2 - 2x + 26 = 0. x² -
Using the results of Exercises 101–104, make a conjecture about another nonreal complex solution of the equation x2 - 6x + 13 = 0, and verify it.Data from in Exercises 101Show that 1 + 5i is a solution of x2 - 2x + 26 = 0.Exercises 102Show that 1 - 5i is a solution of x2 - 2x + 26 = 0.Exercises
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.Find the height h of the triangle using the Pythagorean theorem.Data from in Pythagorean Theorem A = √s(sa) (s — b) (s — c), - -
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.Find the area of each congruent right triangle forming the entire triangle, using the common area formula A = √s(sa) (s — b) (s —
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.Double the result from Exercise 160 to determine the area of the entire triangle.Data from in Exercise 160Find the area of each
The documentation for an early version of Microsoft Word for Windows used the following for the quadratic formula. Was this correct? If not, correct it. x = − b ± √b² - 4ac 2a
The following expression occurs in a standard problem in trigonometry.Show that it simplifies to -2 - √3. Then verify, using a calculator approximation. √3+1 1 - V3
Solve each equation by completing the square.3r2 + 2r - 2 = 0
Use the square root property to solve each equation. (3x-1)2 = 7 =
Use the square root property to solve each equation. (m-6)² = 27
Rationalize each denominator. Assume that all variables represent positive real numbers. 5V2m √y³
Simplify each root. -(-7)6
Simplify. 64
Simplify each expression. Assume that all variables represent positive real numbers. 645/3 644/3
Consider the expression(a) Simplify this expression using the methods of this section.(b) Use a calculator to approximate the given expression.(c) Use a calculator to approximate the simplified expression in part (a).(d) Complete the following: Assuming the work in part (a) is correct, the
Simplify. Assume that all variables represent positive real numbers. aº 81
Multiply. Give answers in standard form. (6 + 7i) (6-7i)
Rationalize each denominator. Assume that all variables represent positive real numbers. 2V5r m³
Simplify. 128
Solve each equation. √x² + 7x + 2 = x² + 6x + 1
Multiply. Give answers in standard form. (4 +9i) (49i)
Simplify each expression. Assume that all variables represent positive real numbers. 1257/3 1255/3
Simplify. Assume that all variables represent positive real numbers. 153
Simplify each root.
Simplify. 486
For each equation, write the expressions with rational exponents as radical expressions, and then solve, using the procedures explained in this section. (2x −9) ¹/² = 2 + (x − 8) ¹/2
Rationalize each denominator. Assume that all variables represent positive real numbers. 48k² N
Multiply. Give answers in standard form. (7 + 2i) (72i)
Simplify each root. - Vx2
For each equation, write the expressions with rational exponents as radical expressions, and then solve, using the procedures explained in this section. (3w+7)/2 = 1+ (w + 2)/2
Simplify. Assume that all variables represent positive real numbers. +/p6 A
Rationalize each denominator. Assume that all variables represent positive real numbers. 75m3 P
Multiply. Give answers in standard form. (1 + i)²(1 - i)²
Simplify. 2048
Simplify each root. V(-2)²
Simplify. Assume that all variables represent positive real numbers. V2.1/5
Simplify each expression. Assume that all variables represent positive real numbers.y7/3 · y-4/3
Simplify. Assume that all variables represent positive real numbers. 2 3
A rectangular yard has a length of √192 m and a width of √48 m. Choose the best estimate of its dimensions. Then estimate the perimeter.A. 14 m by 7 m B. 5 m by 7 m C. 14 m by 8 m D. 15 m by 8 m
For each equation, write the expressions with rational exponents as radical expressions, and then solve, using the procedures explained in this section. (2w 1)2/3w1/3 = 0
Simplify. 128
Simplify each expression. Assume that all variables represent positive real numbers.r-8/9 · r17/9
If the sides of a triangle are √65 in., √35 in., and √26 in., which one of the following is the best estimate of its perimeter?A. 19 in. B. 20 in. C. 24 in. D. 26 in.
Find the perimeter of each figure. Give answers as simplified radical expressions. 3√20 in. √75 in. 2√45 in.
Multiply. Give answers in standard form. (2-1)²(2+i)²
For each equation, write the expressions with rational exponents as radical expressions, and then solve, using the procedures explained in this section. (x22x) 1/3x1/3 = 0
Simplify. 1458
Simplify each root. 2 V(-q)²
Find the perimeter of each figure. Give answers as simplified radical expressions. √48 m √192 m
Simplify. Assume that all variables represent positive real numbers. +15 4
Simplify each root. X
Find the length c of the hypotenuse of the right triangle shown. 8 6 C
Simplify each expression. Assume that all variables represent positive real numbers.x2/3 · x-1/4
Solve each formula for the specified variable. Z= L C for L
Simplify each expression. Assume that all variables represent positive real numbers. -1/2 k2/3 k-1 .
Find the perimeter of each figure. Give answers as simplified radical expressions. 3√12 in. 4√18 in. 2√72 in. √108 in.
By what complex number should we multiply the numerator and denominator ofto write the quotient in standard form? 2 + i√2 2-i√2
Simplify. Assume that all variables represent positive real numbers. 4
Simplify. Assume that all variables represent positive real numbers. V72k²
Simplify each root. A
Simplify each expression. Assume that all variables represent positive real numbers.x2/5 · x-1/3
Simplify. Assume that all variables represent positive real numbers. 3 5 16
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