Which hill described in the table is the steepest and why?
street. horizontal distance vertical
(ft). rise of
street (ft)

dixie hill. 100. 60
bell hill. 100. 50
liberty hill 100. 20

a. dixie hill; it rises 5 feet for every 3 feet of horizontal travel.
b. dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
c. bell hill; it rises 2 feet for every 1 foot of horizontal travel.
d. liberty hill; it rises 1 foot for every 5 feet of horizontal travel.

Option: B

Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

Step-by-step explanation:

A slope with a greater absolute value indicates a steeper line.

so, we will find the slope of each of the hill to check the steepness of the road.

1)

Dixie Hill

Street            Horizontal distance              vertical Distance

Dixie hill          100                                           60            

The slope of the hill is:

Vertical distance/ Horizontal ditance

= 6/10=3/5

2)

Street            Horizontal distance              vertical Distance

Bell hill                   100                                      50  

slope=1/2

3)

Street            Horizontal distance              vertical Distance

Liberty hill              100                                      20  

slope=1/5

As slope of Dixie Hill is greater than the rest two.

Hence, option: B is correct.

B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

x = 25/2304

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: