The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
Answer
-i sqrt 37
Step-by-step explanation:
Please see attached photo and give brainliest if you can :) it took me a looong time, hope it helped :)
Answer:
-27/5 or -5 2/5
Step-by-step explanation:
Simplify
1 2/7 to 9/7
-4 1/5 to -21/5
multiply together
(9)(-21)/(7)(5)
-189/35
u can simplify by diving by 5 to get
-27/5
Answer:
<u>193.2 cm²</u>
Step-by-step explanation:
Area = 5.2 x 6 + 3 x 6 x 9
= 31.2 + 162
= <u>193.2 cm²</u>
