Answer:
a) Function A(x) = (60*x - 1/2*x²)
b)Side length x = 60 m the other side y = 30 m
c) A (max) = 1800 m²
Step-by-step explanation:
Area of rectangular garden with length " x " and wide "y"
A = x*y
Perimeter of rectangular area ( only three sides 2*y and 1*x)
P(r) = 2*y + x
P(r) = 120 = 2*y + x
y = ( 120 - x ) /2
Area of the garden as function of x is
A(x) = [( 120 - x ) /2]*x ⇒ A(x) = (60*x - 1/2*x²)
Taking derivatives on both sides of the equation:
A´(x) = 60 - x
A´(x) = 0 60 - x = 0
x = 60 m
Then
y = ( 120 - x ) / 2 ⇒ y = (120 - 60 )/2
y = 30 m
A(max) = 30 * 60
A(max) = 1800 m²
Answer:
Step-by-step explanation:
3( 2x-4)=4(3/2x-3)
Opening bracket
6x - 12 = 6x - 12
6x - 6x = -12 + 12
No solution
This is the concept of geometry, for us to get the value of JM we will requires to get the value of x first;
From the diagram we have been told that;
KL=ML
KL=7x+7
ML=8x-3
thus;
8x-3=7x+7
collecting the like terms we get;
8x-7x=7+3
x=10
But, JM=13x+2
substituting the value of x in JM we get:
JM=13(10)+2
JM=130+2
JM=132
The answer is 132°
Answer:
A and C
Step-by-step explanation:
Answer:
0.625
Step-by-step explanation:
