Answer:
Algebraic Expression
Step-by-step explanation:
The variable is unknowns therefore it has to be algebraic and it is an expression as we need a form of showcasing it
This is why it is Algebraic Expression
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
Answer:
-2
+ 2
Step-by-step explanation:
Answer:
It is the first answer
Step-by-step explanation:
For it to be considered a function, each x-value can only corresponds (have) one y-value, however, y-values (even if they are the same y-value) can have multiple different x-values.
A) y - 8= -2/3 (x + 3)
B) y + 1 = 4 (x - 5)
C) y - 8 = -3/7 (x - 4)
D) y - 7 = 2/3 (x - 5)
E) y + 5 = -5/3 (x + 3)
