An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular hexagon is just the length of one side multiplied with the number of sides. Since a hexagon has 6 sides,
P = 6(15) = 90in
A = 1/2 * 90 * 13
A = 585 square inches
A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator
Answer:
2x +5y = -15
Step-by-step explanation:
We need to find the slope
m = (y2-y1)/(x2-x1)
= (-7--1)/(10- -5)
= (-7+1)/(10+5)
-6/15
-2/5
The point slope form
Y+7=
-2/5 (x - 10).
Distribute
y + 7 = -2/5x + 4
Add 2/5 x to each side
2/5x +y +7 = 4
Subtract 7 from each side
2/5x +y = -3
Multiply each side by 5
5(2/5x +y) = -3*5
2x +5y = -15
This is standard form Ax + By = C where A is a positive integer
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