University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2019
Views:

377

Pages:

2
Author:

larbiwxcvbn

Who wrote the book 'Growing Up in the Balkans'?" Simplify the following expressions. The answer to each problem will match a letter that will allow you to figure 1 1. √64 = 8 2. √27a²b³ = 3ab√3b 3. √120a⁵b⁷ = 2ab³√30ab 4. √27a²b = 3ab√3 5. √20a²b³ = 2ab√5a 6. √32a²b⁵ = 2ab²√2a 7. √-4ab = -2√ab 8. √(x+2)² = (x+2) 9. √162a⁴b⁶ = 3ab²√2ab² 10. √16a⁴b⁶ = -4a²b³ H U G O S L A V I A 9 4 6 1 10 3 2 5 8 7 Pre-Calculus Distance & Midpoint Formula Find the distance between each pair of points. 1) (3, -2), (0, 6) d = √[(3-0)² + (-2-6)²] = 5 2) (3, -7), (5, -8) d = √[(3-5)² + (-7+8)²] = √5 3) (-2, -2), (-3, -1) d = √[(-2+3)² + (-2+1)²] = √2 4) (2, -1), (8, 3) d = √[(2-8)² + (-1-3)²] = 2√13 5) (-4, -5), (-2, 7) d = √[(-4+2)² + (-5-7)²] = 2√37 6) (7, 1), (6, -6) d = √[(7-6)² + (1+6)²] = √50 = 5√2 7) (1, -1), (-5, 7) d = √[(1+5)² + (-1-7)²] = 10 8) (-6, -2), (2, 4) d = √[(-6-2)² + (-2-4)²] = 2√13 9) (0, -1), (-4, 1) Midpoint = (0-4/2, -1+1/2) = (-2, 0) 10) (-8, 2), (4, 10) Midpoint = (-8+4/2, 2+10/2) = (-2, 6) 11) (1, 1), (7, 9) Midpoint = (1+7/2, 1+9/2) = (4, 5) 12) (-8, -1), (3, 3) Midpoint = (-8+3/2, -1+3/2) = (-5/2, 1) 13) (1/2, 1/5), (-1/2, 1) Midpoint = (1/2-1/2/2, 1/5+1/2) = (0, 7/10) 14) (2/3, 3/5), (5/3, -2/5) Midpoint = (2/3+5/3/2, 3/5-2/5/2) = (7/6, 1/10) Given the midpoint and one endpoint of a line segment, find the other endpoint. 15) Endpoint: (-7, -6), midpoint: (9, -1) -7+x/2 = 9 -7+x = 18 x = 25 -6+y/2 = -1 -6+y = -2 y = 4 16) Endpoint: (-10, 1), midpoint: (-3, -8) -10+x/2 = -3 -10+x = -6 x = 4 1+y/2 = -8 1+y = -16 y = -17