Geometry / Mr. Hansen
4/26/2001

Name: _________________________

From §13.7 (pp.638-642)

1.

x² + y² = 25
(a) 25p
(b) 10p

3.

(a) » 13.7
(b) » 30.5

4.

25

9.

–0.5

10.

5

16.(a)

(x – 7)² + (y – 1)² = 100

(b)

100p

(c)

20p

(d)

(1, –7)

(e)

y – 9 = –¾ (x – 13)

(f)

13

(g)

3

17.

50

18.

(–6, 1) and (0, 1)

From Review Problems (pp.644-647)

1.

No

2.

III

3.

–4

4.(a)

(10, 0)

(b)

(2, 6)

(c)

(–4, 4)

5.(a)

10

(b)

(7, 2)

(c)

4/3

6.(a)

4/3

(b)

(1, 6)

(c)

–3/5

(d)

Ö34

(e)

–¾

(f)

1/8

(g)

–¾

7.(a)

50

(b)

27

(c)

18p

8.(a)

(x – 2)² + (y + 3)² = 16

(b)

x² + y² = 100

(c)

(x – 5)² + y² = 25

9.(a)

y = 2x + 1

(b)

x = 2

(c)

x = –5

(d)

y = 3x – 2

(e)

y = ½x – 2

(f)

y = 3x – 7

(g)

y = ½x – 3

10.(a)

–½

(b)

2

Since slopes are opposite reciprocals, lines are perpendicular.

11.

Yes

12.

–2/3

13.

–29/4

14.

± 2

15.

(10, 5)

16.

(–2, 2)

17.(a)

2Ö5

(b)

y = 2x – 10

(c)

y – 4 = –5(x – 7)

(d)

y – 8 = –5(x – 9)

(e)

y – 8 = 1/5 (x – 9)

18.(a) 

(x – 3)² + (y – 2)² = 40

 (b)

40p

(c)

(–3, 0)

(d)

y – 4 = –3(x – 9)

(e)

20

(f)

» 13.7

(g)

60

19.(a)

Upper left half of a circle with center (0, 0) and radius 5, including the boundary.

(b)

Quadrant II and its boundary.

20.(a)

3/5

(b)

3/10

21.(a)

{(2, 7)}

(b)

{(7, –1)}

(c)

{(–3, 4), (5, 4)}

22.

C = (–3, 2)
r = 5

23.

» 9.2

24.

48

25.

Degenerate circle (i.e., a single point).

26.(a)

60

(b)

They are ^.

27.

III and IV; (–10/3, –10/3) and (10/7, –10/7)

29.

2Ö10

30.

Ö10

31.

» 339.3

32.

(1, 1/5)

33.

(–10/3, 7/3)

34.

66

35.

(44/7, 0)

36.(a)

(–5, –10)

(b)

(–1, –8)

(c)

(11, 2)

37.

{(2, 14), (–26, 42)}