Y= mx +b
the first line:
sustitute:
4=m(-2)+b
remplace intercept in y:
4=-2m-6
-2m=(4+6)/-2
m=-5
The first equation is y=-5x-6
For the perpendicular the slope is 1/5
so
y-y1=m(x-x1) use the second coordenates
y+4= 1/5(x-5)
y=(1/5)x-1-4
y=(1/5)x-5 That's the answer: Letter C
Answer:
3 hours and 45 minutes
Step-by-step explanation:
let's assume the tank has a volume of x liters.
let's assume the speed of filling it is x/6 liters per hour for A and x/10 liters per hour for B.
the formula to calculate the time is:
time = volume / speed
If the pumps work together, the total speed is x/6 + x/10, which is 16/60 x
So the time this takes is:
time = x / (16/60 x) = 60/16 hours = 3.75 hours = 3 hours and 45 minutes.
Answer:
ok
Step-by-step explanation:
Answer:
cos(x=pi/4)= 
Step-by-step explanation:
Remember that 
We need to find cos(x) from the above equation.
cos(x)= 12) / 13. This solution is positive since cos(x) in the range (2pi/3, 2pi) is positive.
Now, to obtain cos(x+pi/4) lets use the relation for cos(a+b)= cos(a)*cos(b)-sin(a)*sin(b)
where a=x, b =pi/4
Hence
cos(x+pi/4) =cos(x)*cos(pi/4) - sin(x)*sin(pi/4)
cos(x+pi/4) = 
cos(x=pi/4)=