In order to find the vertical asymptotes of a rational function you must set the denominator = 0 and solve for x.
If F(x) = (3x + 9) / (x^2 + 4x - 12), then set x^2 + 4x - 12 = 0 and solve for x.
(x + 6)(x - 2) = 0
x + 6 = 0 so then x = -6
x - 2 = 0 so then x = 2
For this particular function, you have 2 vertical asymptotes. x = -6 and x = 2
Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:

Their sum is 59. So:

This is a system of equations. Solve by substituting the first equation into the second. Thus:

Combine like terms:

Subtract 5 from both sides:

Divide both sides by 2:

So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!
There are 2pi radians in circle
so
circumference times arcinradians/2pi=areclength
c=2pir
c=2pi25
c=50pi
arc in radians=7pi/5
c times arcrad/2pi=
50pi times (7pi/5)/2pi=
50pi times 7/10=
35pi
it is 35pi cm or aprox 109.95574287564276334619251841478 cm
Answer:

Step-by-step explanation:
Write down the slope-intercept form:

Where m is the slope and b is the y-intercept.
To turn the equation into slope-intercept form, isolate y on the left-hand side:

Rearrange the equation a bit:
