Two cities, Ashville and Boulder, are 2.5 inches apart on a map. A third city, Wellspring, is
located exactly halfway between Ashville
and Boulder. If the map uses a scale of 0.5
inch = 15 miles, find the actual distance from
Wellspring to Boulder.

The distance between W and B is 18.75 mi.

Step-by-step explanation:

2.5 inches converts to

 2.5 in        15 mi

* = 37.5 mi

     1             1 in

Half of this distances places us at the midpoint between W and B:

 37.5 mi

= 18.75 mi

       2

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: