Question : Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. : 2163689

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive.

101) 3√(x - 10) = 5

A) -5

B) -135

C) 135

D) 115

Solve the equation.

102) x² = 4

A) -2

B) 3

C) ± 2

D) 2

103) 4x² = 16

A) 2

B) ±2

C) 5

D) -2

104) (12 - 6x)² = 900

A) 2, 7

B) 3, 7

C) 0, 2

D) -3, 7

105) (4 - 10x)³ = -1000

A) - (7/10)

B) (7/10)

C) - (7/5)

D) (7/5)

Solve the equation graphically. Approximate the solution to the nearest hundredth, if appropriate.

106) √(q + 1) = 9

A) 100

B) 82

C) 81

D) 80

107) √(8q - 7) = 7

A) 7

B) (21/4)

C) 49

D) (49/8)

108) √(7q + 8) = 8

A) 8

B) (64/7)

C) 64

D) (72/7)

109) √(5x) + 2 = 7

A) (53/5)

B) 5

C) 1

D) 25

110) 3√(t) = -2

A) -8

B) 4

C) 3√(-2)

D) -6

111) x = √(x + 13) + 7

A) 3

B) 3, 12

C) No solutions

D) 12

112) 2x^1/2 - 7 = 5

A) 6

B) 36

C) 144

D) No solutions

113) x^3/2 = √(x + 5) - 3

A) All real numbers

B) 0.5

C) No solutions

D) 1.67

Solve the formula for the indicated variable.

114) T = 2π√((L/K)) for L

A) L = (KT/2π)

B) L = (KT²/2π)

C) L = (K²T²/4π²)

D) L = (KT²/4π²)

115) r = √((S/4π)) for S

A) S = (r²/4π)

B) S = 16π²r²

C) S = 4πr

D) S = 4πr²

116) L = √((2W/k)) for k

A) k = (2W/L²)

B) k = (4W²/L²)

C) k = (2W/L)

D) k = 2WL²

If the sides of a triangle are a, b, and c and they satisfy a² + b² = c², the triangle is a right triangle. Determine whether the triangle with the given sides is a right triangle.

117) a = 12, b = 16, c = 20

A) Yes

B) No

118) a = 8, b = 10, c = 14

A) Yes

B) No

119) a = 5, b = 9, c = 14

A) Yes

B) No

120) a = 7, b = 24, c = 25

A) Yes

B) No