So i know how to do this but.... im confusing my self >n< please help me
1 answer:
Answer:
see the attached graph
Step-by-step explanation:
When an equation is in <em>standard form</em> (or almost standard form), I like to put it into <em>intercept form</em> for graphing. Here, it is convenient to divide the equation by 2 to put it in standard form (coefficients mutually prime).
x +3y = -3
Now, it is convenient to divide by the constant on the right (-3) to put the equation into intercept form:
x/(-3) +y/(-1) = 1
The denominators are the x- and y-intercepts, respectively. Plot those, (-3, 0) and (0, -1), and draw the line through them.
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<u>Given</u>:
Given that the radius of the circle is 2 inches.
We need to determine the area of the remaining square.
<u>Area of a square:</u>
Given that each circle has a radius of 2 inches.
Then, the diameter of each circle is 4 inches.
Hence, the side length of the square is 2 × 4 = 8 inches.
The area of the square is given by
Thus, the area of the square is 64 square inches.
<u>Area of the four circles:</u>
The area of one circle is given by
Substituting r = 2, we have;
Thus, the area of one circle is 4π in²
The area of 4 circles is 4 × 4π =16π in²
Hence, the area of the 4 circles is 16π in²
<u>Area of the remaining square:</u>
The area of the remaining square is given by
Area = Area of the square - Area of four circles.
Substituting the values, we get;
Thus, the area of the remaining square is (64 - 16π) in²
Hence, Option c is the correct answer.