Answer: a = -7.68
<u>STEPS:</u>
- Subtract 13.61 from both sides
- Simplify
- Divide both sides by 3
An rational number, is a real number, that can be written in the form of p/q, where q is not equal to 0 or 1. A common misconception is that irrational numbers do not terminate; this is false. For example, 1/3 equals 0.3 repeating, but 1/3 can be written as p/q. As you can infer, an irrational number is a number, that cannot be written as p/q. One example is pi, or e.
No, the two-way frequency table does not support the following statement because 13 middle school students wear glasses and 20 high school students wear contacts.
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
<h3>How to determine the circle equation?</h3>
The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
brainly.com/question/1559324
