<h2>
Answer:</h2>
The ratio of the area of region R to the area of region S is:

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Step-by-step explanation:</h2>
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:

i.e.

Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:

Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.

Now, we know that the area of a square is given by:

and

Hence, we get:

and

i.e.

Hence,
Ratio of the area of region R to the area of region S is:

Answer:
513.24132
Step-by-step explanation:
None of the numbers are large enough to make the next number higher. Therefore that would just be your answer.
Answer:
The coordinates are ( 4, -3).
Step-by-step explanation:
We can find the coordinates by solving the 2 equations
y = 1/4x-4
y = -1/2x-1
As both left sides of the equation are y we can say:
-1/2x-1 = 1/4x-4
-1/2x - 1/4x = -4 + 1
-3/4 x = -3
x = -3 * -4/3
x = 4.
- and y = 1/4(4) - 4 = -3.
Answer:
Step-by-step explanation:
First let's re-write the equation:
f(x) = 3x² - 5x + 4
If f(-2). then we can re-write the equation as:
f(-2) = 3(-2)² - 5(-2) + 4
We must solve for exponent first: (-2)² = 4
f(-2) = 3(4) - 5(-2) + 4
Then solve for multiplication:
f(-2) = 12 + 10 + 4
Finally addition:
f(-2) = 26
that means that in a function, if X = -2, then F is equal to 26
A because you move down 5 units and over 2