ANSWER
EXPLANATION
The given rational function is
We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of
which is
When we rationalize we obtain:
The denominator is now a difference of two squares:
We apply this property to get
This simplifies to
Or
Answer:
The first graph.
Step-by-step explanation:
Algebra Calculator.
Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is =
= 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)