Yes, once again, The only irrational numbers are the ones with a square root. A rational number is a whole number, a fraction (unless the denominator is 0), a mixed number, or a decimal number. If you had the square root of 4, that would be rational because it can be simplified to 2 or -2. so there for it shall be rational number.
Answer:
A. 1 rectangle, 2 triangles
B. AB = AE = 5
C. 36.5 square units
Step-by-step explanation:
<h3>A.</h3>
The attached figure shows 1 rectangle (square) and two triangles.
__
<h3>B.</h3>
These sides are aligned with the grid, so their length is simply the difference in coordinates along the line:
AB = 2 -(-3) = 5
AE = 3 -(-2) = 5
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<h3>C.</h3>
The area of the square is ...
A = s^2 = 5^2 = 25
The area of triangle BCF is ...
A = 1/2bh = 1/2(3)(5) = 15/2
The area of triangle CDE is ...
A = 1/2bh = 1/2(8)(1) = 4
The total area is the sum of the areas of the square and two triangles:
total area = 25 +7.5 +4 = 36.5 . . . square units
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<em>Additional comment</em>
We note that segment CE divides the figure into <em>trapezoid</em> ABCE and <em>triangle</em> CDE. The trapezoid has bases 5 and 8, and height 5, so its area is ...
A = 1/2(b1 +b2)h = 1/2(5 +8)(5) = 32.5
Triangle CDE has the same area as computed above, 4 square units. So, the total area of the figure is ...
32.5 +4 = 36. 5 . . . . square units

- Simplify ⇨ 1/x(x+a) + 1/x(x-a)


To add or subtract expressions, expand them to make their denominators the same. Least common multiple of
and
is
. Multiply
. Multiply
.

Because
and
have the same denominator, add them by adding their numerators.

Combine like terms in x-a+x+a.

Cancel out x in both the numerator and denominator.

Expand
.

Answer:
- 1205 people per square miles
Step-by-step explanation:
- Population = 10 511 215
- Area = 8 723 square miles
<u>Population density is the number of people per unit of area:</u>
- 10511215 / 8 723 = 1205 people per square miles