Find where the equation is undefined ( when the denominator is equal to 0.
Since they say x = 5, replace x in the equation see which ones equal o:
5-5 = 0
So we know the denominator has to be (x-5), this now narrows it down to the first two answers.
To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.
In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)
so the degrees would be equal.
Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.
This makes the first choice the correct answer.
Simplifies into
10a-3a
Which equals
7a
Answer:
1, 0, -1, -2, -3, -4, -2
Step-by-step explanation:
Answer:
( x-2)^2 + ( y+1) ^2 = 25
Step-by-step explanation:
The equation of a circle is
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
The center is ( 2,-1) and the radius is the difference from the center to a point on the circle
(2,4) and (2,-1)
since x is the same the radius is (4- -1) = 5
( x-2)^2 + ( y--1) ^2 = 5^2
( x-2)^2 + ( y+1) ^2 = 25