If (x^2 - y^2 = 10 and (x + y) =2 find x and y?
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Answer:
The coordinates of the lines when both lines meets at point is ( 0, 0 )
Step-by-step explanation:
Given as :
The two lines are
x +
y =
And 4 x + y = 4
The coordinate of the lines are obtained when the two lines intersect
Let the coordinate of intersection points are ( x , y )
Now , The first lines as
x +
y =
Or, Taking LCM we get ,
=
Cross multiplication both sides
Or, 3 × ( 4 x + y ) = 2 × 6
Or, 3 × 4 x + 3 × y = 12
Or, 12 x + 3 y = 12 ...........A
Other line is 4 x + y = 4
i.e 3 × ( 4 x + y ) = 3 × 4
or, 12 x + 3 y = 12 .........B
Solving both the line equations
(12 x + 3 y ) - ( 12 x + 3 y ) = 12 - 12
I.e x = 0 and y = 0
So coordinates are ( x , y ) = ( 0 , 0 )
Hence The coordinates of the lines when both lines meets at point is ( 0, 0 ) Answer
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
Learn more:
You can learn more about the asymptotes in brainly.com/question/6459599
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