Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:7yd
Step-by-step explanation:
Answer: u got a course hero account ?
Step-by-step explanation:
Answer:
A. -4/11
Step-by-step explanation:
Slope formula: ![\frac{y^2 - y^1}{x^2 - x^1 }](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2%20-%20y%5E1%7D%7Bx%5E2%20-%20x%5E1%20%7D)
Using the two points substitute the coordinates into this formula
6-2 = 4
4 - 7 = -11
Put 4 over -11 because it is the y value
![-\frac{4}{11}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B11%7D)
First of all u draw a number line, then u labbel it, then go to zero, n count 6 negative steps, ok in simple terms move backwards thrice