Answer:
Step-by-step explanation:
h =2
area of triangle = 16x9x0.5= 72 cm^2
area of parallelogram = 72 x 5 = 360 cm^2
area of parallelogram = base x height(h)
360 = 30h
divide both sides by 30
h = 12
check the picture below.
recall that the area of a parallelogram is simply A = bh. b = base, h = height.
Answer:
(3,-4) or x=3 and y= -4
Step-by-step explanation:
I'm going to solve this by substitution
We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)
I'm going to solve for y in the second equation
-4x-4y=4
add 4y and subtract 4 from both sides to get
-4x-4=4y
Divide by 4 to get
-x-1=y
We can plug this value in for y into the first equation and get
4x+5(-x-1)= -8
Solve for x
4x-5x-5= -8
-x-5= -8
-x= -3
x=3
We can plug this value into one of the first two equations and solve for y
4(3)+5y= -8
12+5y= -8
5y= -20
y= -4
Therefore the solution is (3,-4) or x=3 and y= -4
Where’s your previous question at?
Answer:

Step-by-step explanation:
For this case the solution flows at a rate of 2L/min and leaves at 1L/min. So then we can conclude the volume is given by 
Since the initial volume is 10 L and the volume increase at a rate of 1L/min.
For this case we can define A as the concentration for the salt in the container. And for this case we can set up the following differential equation:

Because at the begin we have a concentration of 8 gr/L and would be decreasing at a rate of 
So then we can reorder the differential equation like this:

We find the solution using the integration factor:

And then the solution would be given by:

And if we simplify this we got:

And after do the integral we got:

And using the initial condition t=0 A= 20 we have this:


So then we have this function for the solution of A:

And now replacinf t= 40 we got:
