Answer:
See graph
Step-by-step explanation:
We want to graph 
on the interval 
We need to plot some few points
This will give us one cycle.
We then use the pattern to complete the graph on the interval
Simplify each term.
1/2X - 1/3Y
Combine 1/2x and −1/3y using a common denominator.
To write −1/3y as a fraction with a common denominator, multiply by 2x/2x.
(1 / 2x )(3y / 3y) + (−1 / 3y) (2x / 2x)
Write each expression with a common denominator of 6xy, by
multiplying each by an appropriate factor of 1.
1 (3y)/6xy − 1 (2x)/6xy
Combine the numerators over the common denominator.
1(3y) − (1(2x))/6xy
Simplify the numerator.
3y−(1(2x))/6xy
<span>Simplify.
</span>3y−(2x)/6xy
<span><span>3y−2x/</span><span>6xy</span></span>
Simplify with factoring<span> out.
</span>
Reorder <span>3y</span><span> and </span><span><span>−2x</span>.</span>
<span><span>−2x+3y/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−2x</span>.</span>
<span><span>−1(2x)+3y/</span><span>6xy</span></span>
Factor <span>−1</span><span> out of </span><span><span>3y</span>.</span>
<span><span>−1(2x)−1(−3y)/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−1(2x)−1(−3y)</span>.</span>
<span>−1(2x−3y)/</span><span>6xy
</span>Move the negative in front of the fraction<span>.
</span>
<span>−<span><span>2x−3y/</span><span>6xy</span></span></span><span>
</span>
If the length of JK is 16.4 miles, it will be diameter of this circle, the radius will be JK/2 = 8.2 miles
As we know the length of circle is 2π*r in this case r = 8.2
The arc JM is 1/4 length of the whole circle so arc JM = (2π*8.2)*(1/4) = 2π*8.2/4 = π*8.2/2 = π*4.1
if we assume that π=3.14 the answer will be 3.14 * 4.1 = 12.874.... And as the answer needs to be rounded to the nearest tenth it will be 12.874≈12.9
So the answer will be 12.9
Take the root of both sides and solve.
Answer:
Approximately 201 squared inches.
Step-by-step explanation:
So, the composite figure is made up of a square and a semi-circle. The square has side lengths of 12 and the semi-circle has a radius of 6.
The total area of the figure would be the area of the square plus the area of the semi-circle. Thus, find the area of each individual figure.
Square:
The area of a square is given by:
Where l is the side length.
Substitute 12 for l:
So the square is 144 square inches.
Semi-circle:
The area of a semi-circle is given by:
Substitute 6 for r and 3.14 for π:
Therefore, the total area is:
