no offence but how r we supposed\ to help me when there is nothing to look at bro
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:
x = -1/2
Step-by-step explanation:
1-3x = x+3
Add 3x to each side
1-3x+3x = x+3x+3
1 = 4x+3
Subtract 3 from each side
1-3 = 4x+3-3
-2 = 4x
Divide each side by 4
-2/4 = 4x/4
-1/2 =x
Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB 
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.
Answer:
36 minutes
Step-by-step explanation:
Let the productivity of slower computer is x bits/min
That means Slower computer in 45 minutes sends x*45 bits= company's email
Let the productivity of faster computer is y bits/min
That means that working together slower and faster computers send
x*20+y*20= company's email or
x*20+y*20=x*45
x*25=y*20
y/x=25/20= 1,25
That means that faster computer sends the mails 1.25 times faster than slower computer
So faster computer will need in 1.25 times lees time than slower computer to do this job
45:1.25 =36 min
