Answer:
The distance between the hose and the point (P) is 0.9 miles
Step-by-step explanation:
Here we have
Speed of rowing the boat = 3 mph
Speed of waling = 4.5 mph
Since the speed of walking is more than that of to row the boat, the location of where he should dock his boat in order to minimize the total time he would need to reach the house is the shortest distance across the river to the house
Therefore the location of the point (P) should be directly opposite the house across the water and the distance id 0.9 miles.
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.
y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b
so ur perpendicular equation is : y = -1/3x + 3
Answer:

Step-by-step explanation:
(a) y = 2x + 3
(b) (1,5), (3,3); y = 3x + 3 5 = m1 + b, 3 = m3 + b
(c) coincident i believe, because it is not independent or inconsistent
(d) 2x + 3 = 3x + 3
(-2x)(-3) (-2x)(- 3)
0 = -2x
x = 0
hope this helps