Answer:
Step-by-step explanation:
Let
x----> the length of the rectangular garden
y---> the width of the rectangular garden
we know that
The perimeter of the rectangle is equal to
we have
so
simplify
------> equation A
Remember that the area of rectangle is equal to
----> equation B
substitute equation A in equation B
----> this is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the maximum area
The x-coordinate of the vertex is the length side of the rectangle that maximize the area
using a graphing tool
The vertex is the point 
see the attached figure
so
Find the value of y
The garden is a square
the area is equal to
----> is equal to the y-coordinate of the vertex is correct
Answer:
Step-by-step explanation:
The problem is asking for slope-intercept form, luckily, they gave us both of those things.
Slope-intercept form: 
, where 
slope and 
y-intercept.
So,
Hope this helps!
Area of a circle is 75 cm².
Area of a circle is computed by multiplying pi to the square of the radius.
A = πr²
diameter = 10 cm
radius = d/2 = 10/2 = 5 cm
pi = 3
A = 3(5cm²)
A = 3(25cm²)
A = 75 cm²
Answer:
2) 4/3
Step-by-step explanation:
(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)
4^-3 * 3^4 * 4^2 = 4^-1 * 3^4
(4^-1 * 3^4)/(4^-2 * 3^5)
(3^4)/(3^5) = 1/(3^5-4)
(4^(-1))/(4^-2 * 3^(5-4)
(4^-1)/(4^-2 * 3)
4^(-1 - (-2)) / (3)
-1 - (-2) = 1
4/3
The answer is true. We know this because 9^2 - 6^2 is 45.
