Chapter 1 Test (1-6)

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Precalculus
Michael Sullivan
Edition 10
Chapter 1 Test (1-6)

Chapter 1 has been completed. For those who want to take the Chapter 1 test to get extra practice, see attachment. Enjoy.

[Eigenvalue]

1. We can use the distance formula to find the distance
d=[tex]\sqrt{(-1-3)²+(5+1)²}[/tex]
d=[tex]\sqrt{16+36}[/tex]=[tex]\sqrt{52}[/tex]=2[tex]\sqrt{13}[/tex]

[Eigenvalue]

2. Midpoint of (-1,3) and (5,-1)
([tex]\frac{(5-1)}{2}[/tex],[tex]\frac{(3-1)}{2}[/tex]
Midpoint: (2,1)

[Eigenvalue]

3. Slope=[tex]\frac{y1-y2}{x1-x2}[/tex]
m=[tex]\frac{3+1}{-1-5}[/tex]=[tex]\frac{-4}{6}[/tex]
a. The slope is [tex]\frac{-2}{3}[/tex]
b. The y values decreases by 2 units for every 3 units the x values increase

[nycmath]

Eigenvalue,

You outdid yourself. Marvelous work!