Answer:
6
Step-by-step explanation:
61 1/2 divided by 10 1/2 =6
Answer:
Undefined
Step-by-step explanation:
(see attached for reference)
in our case, we are given 2 points
(x₁, y₁) = (-9,-6)
(x₂, y₂) = (-9,-10)
immediately we can see that the x-ordinate for both points are the same, which means that if we were to draw a line through both points, it would form a vertical line.
By definition, a vertical line has a slope that is undefined (answer)
(4, 1), (1, -3), and (2,0)
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