Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
The perimeter is:
P = 2x + 2y = 80
The area is:
A = x * y
The area as a function of a variable is:
A (x) = x * (40-x)
Rewriting we have:
A (x) = 40x-x ^ 2
We derive the function:
A '(x) = 40-2x
We equal zero and clear x:
40-2x = 0
2x = 40
x = 40/2
x = 20 feet
The other dimension is:
y = 40 - x
y = 40 - 20
y = 20 feet
The area will be:
A = x * y
A = 20 * 20
A = 400 feet ^ 2
Answer:
The dimensions are:
x = 20 feet
y = 20 feet
The area is:
A = 400 feet ^ 2
Ok so I’m assuming the question is how the tall is we need to find the Angle of the sun so
Student : 175
Shadow: 2.3
Hypotenuse: 175.0151136
Using -cos(175/175.0151136) we find the
Suns angle: .753 Above him/her
Our tree’s shadow:8.2
Using the suns angle we use cos(x
The closest i can think of that makes since is 1560=30(52)+b, mainly because
30 x 52 = 1560 so that's what i think it is and if im wrong sry.
Step-by-step explanation:
step 1. slope = rise/run
step 2. the rise is the height between any 2 points
step 3. the run is the distance left or right between the same 2 points
step 4. if the line goes up "left to right" the slope is positive, down it is negative
step 5. slope = + 6/2 = 3.