Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles

The hyperbolas in increasing order of the horizontal widths of their asymptote rectangles are:

(x-4)^2/2^2-(y+2)^2/5^2=1

↓

(y+5)^2/2^2-(x+4)^2/3^2=1

↓

(x+7)^2/4^2-(y-9)^2/9^2=1

↓

(y-11)^2/7^2-(x-2)^2/6^2=1

↓

(x-6)^2/8^2-(y+1)^2/3^2=1

↓

(y+1)^2/2^2-(x-1)^2/9^2=1

↓

(y-1)^2/5^2-(x-7)^2/12^2=1

Step-by-step explanation:

1. (y-11)^2/7^2-(x-2)^2/6^2=1

Vertical hyperbola

Horizontal width of its asymptote rectangle is 2b

b^2=6^2→b=6

2b=2(6)→2b=12

2. (y-1)^2/5^2-(x-7)^2/12^2=1

Vertical hyperbola

Horizontal width of its asymptote rectangle is 2b

b^2=12^2→b=12

2b=2(12)→2b=24

3. (x-6)^2/8^2-(y+1)^2/3^2=1

Horizontal hyperbola

Horizontal width of its asymptote rectangle is 2a

a^2=8^2→a=8

2a=2(8)→2a=16

4. (x-4)^2/2^2-(y+2)^2/5^2=1

Horizontal hyperbola

Horizontal width of its asymptote rectangle is 2a

a^2=2^2→a=2

2a=2(2)→2a=4

5. (y+5)^2/2^2-(x+4)^2/3^2=1

Vertical hyperbola

Horizontal width of its asymptote rectangle is 2b

b^2=3^2→b=3

2b=2(3)→2b=6

6. (y+1)^2/2^2-(x-1)^2/9^2=1

Vertical hyperbola

Horizontal width of its asymptote rectangle is 2b

b^2=9^2→b=9

2b=2(9)→2b=18

7. (x+7)^2/4^2-(y-9)^2/9^2=1

Horizontal hyperbola

Horizontal width of its asymptote rectangle is 2a

a^2=4^2→a=4

2a=2(4)→2a=8

answer:      

step-by-step explanation:

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.