Answer:
lol haveagreatandablessdday!!!
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer:
x = 75 and y = -72
Step-by-step explanation:
It is given that,
1/5 x + 1/8 y = 1 ------(1)
1/2 x − 1/3 y = 1 -------(2)
<u>To find the solutions of the system of equations</u>
Step 1: eq(1) * 5 ⇒
x + 5/8y = 5 ----(3)
Step 2: eq(2) * 2 ⇒
x - 2/3y = 2 -----(4)
Step 3: eq(3) - eq(4) ⇒
x + 5/8y = 5 ----(3)
<u>x - 2/3y = 2 -</u>----(4)
0 +(5/8 - 2/3)y = 3
-1/24 y = 3
y = -24*3 = -72
Step 4: Substitute the value of y in eq(1)
1/5 x + 1/8 y = 1 ------(1)
1/5 x + 1/8 (-72) = 1 ------(1)
1/5 x - 24 = 1
1/5 x = 25
x = 5*25 = 75
Therefor x = 75 and y = -72
Answer:
y=-1
Step-by-step explanation:
use point slope formula y-y₁=m(x-x₁)
find m which is slope -1--1/-4--1= 0/-3= 0
plug in the equation and use the first point
y--1=0(x--1)
y=-1
