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duyphan
18.01.2020 •
Mathematics
The map of a biking trail is drawn on a coordinates grid
the tiail starts at p(_2, 1) and goes to q(6, 1) it goes from q to r(6,-3) and then to s(9,-3).
what is the total length (in units) of the biking trail
![11](/tex.php?f=11)
![15](/tex.php?f=15)
![18](/tex.php?f=18)
![19](/tex.php?f=19)
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Ответ:
The total length (in units) of the biking trail is 15 units
Step-by-step explanation:
Given:
P = (-2,1)
Q = (6, 1)
R = (6,-3)
s = (9,-3)
To Find:
The total length (in units) of the biking trail = ?
Solution:
Distance between two points can be found by the
d =
--------------(1)
Step 1: Distance between PQ
Here
Substituting the values in eq(1)
PQ =![\sqrt{(6 -(-2))^2 +(1-1)^2}](/tpl/images/0461/1393/a6155.png)
PQ =![\sqrt{(6 +2)^2 }](/tpl/images/0461/1393/13057.png)
PQ =![\sqrt{8^2](/tpl/images/0461/1393/36f05.png)
PQ = 8
Step 2: Distance between QR
Here
Substituting the values in eq(1)
QR =![\sqrt{(6 -6))^2 +((-3)- 1)^2}](/tpl/images/0461/1393/6f213.png)
QR =![\sqrt{ (-4)^2}](/tpl/images/0461/1393/e0b32.png)
QR =![\sqrt{16](/tpl/images/0461/1393/17bcd.png)
QR = 4
Step 3: Distance between RS
Here
Substituting the values in eq(1)
RS=![\sqrt{(9 -6))^2 +(-3 -(-3))^2}](/tpl/images/0461/1393/268b7.png)
RS =![\sqrt{ (3)^2}](/tpl/images/0461/1393/98e82.png)
RS =![\sqrt{9](/tpl/images/0461/1393/8c65e.png)
RS = 3
Step 4: Finding the total distance of the trail
The total distance of the biking trail is = PQ + QR + RS
=> 8+4+3
=> 15
Ответ: