We are given the expression of the equation of a circle that is x2 + y2 + 14x + 2y + 14 = 0. Using ocmpleting the squares:
x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal ot square root of 36 equal to 6.
Answer:

To simplify first factorize both the numerator and the denominator
For the numerator
5x² + 20xy + 20y²
Factor 5 out
5 ( x² + 4xy + 4y²)
Using a² + 2ab + b² = ( a + b)²
The numerator is
5( x + 2y)²
For the denominator
x² - xy - 6y²
Rewrite -xy as a difference
x² + 2xy - 3xy - 6y²
Factorize
We have the denominator as
( x + 2y)( x - 3y)
So we now have
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Simplify
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We have the final answer as
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Hope this helps you
The price of the item is now $180
Answer:
(-3,4)
Step-by-step explanation:
That means to reflect the point across the y-axis... If you draw (3,4) on the coordinate plane you should see (-3,4) is the reflection across the y-axis from that point.
<span>x+5y=−15
y=1/5x+1
An easy way to do this is by substitution. The second equation is already set to y, so just plug that into the first equation.
x + 5(1/5x + 1) = -15
x + x + 5 = -15
2x + 5 = -15
2x = -20
x = -10
Now that you've got the x, plug that into one of the equations to find y.
(-10) + 5y = -15
5y = -5
y = -1
So the ordered pair is (-10, -1).
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