(m^2 - 16n^2) / [(3m+12n)/mn]
1 answer:
Answer:
All four restrictions apply:
m not= 0
n not= 0
m not= -4n
n not= m/-4
Step-by-step explanation:
For a rational expression, any expression that is a denominator AT ANY POINT in the calculation, must have the appropriate restrictions applied. There are two different expressions, mn and m+4n that we are concerned about here. See image. All four restrictions must be applied.
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Answer:
Step-by-step explanation:
<u>Trigonometric Ratios</u>
There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.
The appropriate relation that we must use to find x is
Solving for x
We have been given that function is a transformation of the quadratic parent function
. We are asked to find the y-intercept of function g.
We know that the function is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form , where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:
The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).