Answer:
82cm have a great day
Step-by-step explanation: have a great day :)
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.
i dont know, my personal thoughts is that I will not do it:)
12x + 4 ➗ 4 + 20x + 5 ➗ 5
1. PEMDAS (order of operations) solve the division problems
(4 divided by 4 & 5 divided by 5)
12x + 1 + 20x + 1
2. Swap around the order of operations as commutative property states that you can swap the order of an addition problem and get the same answer.
12x + 20x + 1 + 1
3. Add like terms
32x + 2
This is the most simplified answer you could get as you can not add 32x and 2 as they are not like terms.
Answer: 72
Step-by-step explanation:
