Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
-4x + 60 = 0
-4x = -60
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
Answer:
Table D
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
<em>Table A</em>
For x=1, y=3
Find the value of k
-----> 
For x=2, y=9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table B</em>
For x=1, y=-5
Find the value of k
-----> 
For x=2, y=5
Find the value of k
-----> 
the values of k are different
therefore
The table B not represent a direct variation
<em>Table C</em>
For x=1, y=-18
Find the value of k
-----> 
For x=2, y=-9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table D</em>
For x=1, y=4
Find the value of k
-----> 
For x=2, y=8
Find the value of k
-----> 
For x=3, y=12
Find the value of k
-----> 
All the values of k are equal
therefore
The table D represent a direct variation or proportional relationship
The linear equation is 
Answer: a=14
Step-by-step explanation:
Equation: 5=1/2a-2
