<h2><u>Circle Equations</u></h2>
<h3>Write the equation of a circle in standard form for the following:</h3><h3>x² − 14x + 49 + y² + 4y = 0</h3>
To write the general form of a circle into standard form, use the formula
<em>(x - h)² + (y - k)² = r²</em>
Where,
<u>(h, k)</u> is the center; and
<u>r</u> is the radius
To transform general form to standard form, group the terms that has the same variables. Replace 0 with the constant term.
- x² - 14x + 49 + y² + 4y = 0
- (x² - 14x) + (y² + 4y) = -49
Next step is to complete the square of each equation inside the parentheses.
- (x² - 14x) + (y² + 4y) = -49
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
Then factor each equation inside the parentheses.
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
- (x - 7)² + (y + 2)² = √2
- (x - 7)² + (y + 2)² = 4
<u>Answer:</u>
- The standard form of the circle is <u>(x - 7)² + (y + 2)² = 4</u>.
Wxndy~~
Answer:
1. 0
3. 17/20
5. 1/21
7 1 7/20
9. 1 7/30
11. 29/40
17. 1/6
13. 4/35
15. 1 1/3
Step-by-step explanation:good luck I hope I didn’t get any wrong
Answer:
yes... 13.3
Step-by-step explanation:
Answer:
your answer is 1!
The gcf of 7 and 9 is the largest positive integer that divides the numbers 7 and 9 without a remainder. Spelled out, it is the greatest common factor of 7 and 9. Here you can find the gcf of 7 and 9, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 7 and 9, but also that of three or more integers including seven and nine for example. Keep reading to learn everything about the gcf (7,9) and the terms related to it.
What is the GCF of 7 and 9
If you just want to know what is the greatest common factor of 7 and 9, it is 1. Usually, this is written as
gcf(7,9) = 1
The factors of 9 are 9, 3, 1.
The factors of 7 are 7, 1.
The common factors of 9 and 7 are 1, intersecting the two sets above.
In the intersection factors of 9 ∩ factors of 7 the greatest element is 1.
Therefore, the greatest common factor of 9 and 7 is 1.
Answer: 6
Explanation: Mode is the one that see the most. Six appears 3 times, the other numbers only appear once each.
