Homework 2 Practice - Precalculus | MATH 1113, Study notes of Pre-Calculus

HW 2.1 Material Type: Notes; Class: Precalculus; Subject: Mathematics; University: University of Georgia; Term: Spring 2016;

Typology: Study notes

2015/2016

Uploaded on 04/27/2016

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2.1 1
1.
Find the coordinates of the points A - F.
point A
(x, y) =
3,3
point B
(x, y) =
โˆ’3,3
point C
(x, y) =
โˆ’3,โˆ’3
point D
(x, y) =
3,โˆ’3
point E
(x, y) =
3,0
point F (x, y) =
pf3
pf4
pf5

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1. Find the coordinates of the points A - F. point A ( x , y ) =

point B ( x , y ) =

point C ( x , y ) =

point D ( x , y ) =

point E ( x , y ) =

point F ( x , y ) =

2. Consider the following points. A (8, 8), B (8, โˆ’8) (a) Find the distance d ( A , B ) between A and B. d ( A , B ) = 16 16 (b) Find the midpoint of the segment AB. ( x , y ) =

3. Find all points with coordinates of the form ( a , a ) that are a distance 9 from P (โˆ’1, 8). ( x , y ) =

(smaller x -value) ( x , y ) =

(larger x -value) Practice Another Version Practice Another Version

In the triangle above, P is the midpoint of the segment connecting (4, 12) and (10, 6). Find the coordinates of the point P. x-coordinate: 7 7 y-coordinate: 9 9 Find the distance from (1, 1) to P. (IMPORTANT: Provide an exact expression, not a decimal

approximation.) 10

Practice Another Version

In the figure above, the circle passes through the three vertices of the right triangle ABC. Leg AB has length 6, and leg BC has length 10. Vertex A is at the origin. Determine the center of the circle. x-coordinate: 3 3 y-coordinate: 5 5 Determine the radius of the circle. (IMPORTANT: Provide an exact expression, not a decimal

approximation.) โˆš

8. Simplify the expression completely. 2 4 s + 3 โˆ’ 11 ( 4 s + 3 )^2

Practice Another Version Practice Another Version