Answer:
He should travel directly
Step-by-step explanation:
Given
--- East
--- North
If he goes through east north direction, the distance (d) traveled is:



If he travels directly, the distance (d) is:
---- Pythagoras theorem




By comparison, he will travel the shortest distance if he travels directly because 
<em>Hence, he should travel directly</em>
Answer:
Step-by-step explanation:
First solve -5x+9y=-12 for x:
-5x+9y=-12
-5x+9y-9y=-12-9y
-5x=-12-9
-5x=-9-12
-5x/-5=-9/5-12/-5
x=9/5y+12/6
Substitute x into an equation
3(-9/5y+12/6)+2y=22
37/5y+36/5=22
37/5y+36/5-36/5=22-36/5
37/5y=74/5
37/5y/37/5=74/5/37/5
y=2
Substitute y in x=-9/5y+12/6
9/5(2)+12/6
x=6
Solution Set: (6,2)
xoxo
Pythagorean Theorem is
a ²+ b ² = c ²
a and b are the shorter sides, while c is the hypotenuse, or longest side. Let’s say the side we are looking for is “b”.
Let’s first rearrange the equation, then sub in.
a ²+ b ² = c ²
b ² = c ²- a ²
b = √ (c ²- a ²)
b = √(17 ²- 15 ²)
b = √(289-225)
b = √ 64
b = 8