Considering the given equation of the circle, the true statements are given as follows:
- The radius of the circle is of 3 units.
- The center of the circle lies on the x-axis.
- The circle has the same radius as the circle with equation x² + y² = 9.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The equation given is:
x2 + y² - 2x - 8 = 0.
Completing the squares, the equation is given as follows:
(x - 1)² + y² = 8 + 1
(x - 1)² + y² = 9.
Researching the problem on the internet, the true statements are:
- The radius of the circle is of 3 units.
- The center of the circle lies on the x-axis(
).
- The circle has the same radius as the circle with equation x² + y² = 9.
More can be learned about the equation of a circle at brainly.com/question/24307696
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The vertical asympototes of f(x) are at x = -6 and x = 6
Step-by-step explanation:
To find the vertical asymptote(s) of a rational function,
- Equate the denominator by 0
- Solve it for x
- If x = a, then the vertical asymptote is at x = a
∵ 
- Equate the denominator x² - 36 by 0
∵ x² - 36 = 0
- Add 36 to both sides
∴ x² = 36
- Take √ for both sides
∴ x = ± 6
∴ There are vertical asymptotes at x = -6 and x = 6
The vertical asympototes of f(x) are at x = -6 and x = 6
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You can learn more about the asymptotes in brainly.com/question/6459599
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Answer:
32
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 6² - 4 = 36 - 4 = 32
Answer:
The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7
Step-by-step explanation:
Let the total distance from Madison house to her uncle is 1 unit
She travels 5/7th of the total distance on Saturday
Remaining distance = 
She travels 1/2 of the remaining distance on Sunday.
Hence, the fraction of the total distance to her uncle's house that was traveled on Sunday is 1/2 * 2/7 = 1/7
Answer:
Each side is 35.78 mm
Step-by-step explanation:
A square would have 4 equal sides. Since area of a square is x^2, where x is one side, we can write:
x^2 = 1280
x = 35.78 mm
Each side is 35.78 mm
