Answer:
Step-by-step explanation:
(-7 - 1)/(6 + 2) = -8/8 = -1
y - 1 = -1(x + 2)
y - 1 = -x - 2
y = -x - 1
<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~~
For this case we have that by definition of power properties it is fulfilled that:
Then, if we have the following expression:
Applying the property, we can rewrite the expression as:
Answer:
130.47 - 108.17
22.3 percentage increase
Answer:book
Step-by-step explanation:
