The answer would be 6 the easy way is to divide 48 by 8
Ways to spot if an expression is not a polynomial:
1) If there is a negative exponent
2) If there is division by a variable
3) If the power is something other than a non-negative integer
If any of these conditions exist, the expression will not be a polynomial. Now consider the options. Option A has negative exponent, Option B involves division by a variable and Option D has a exponent which is not a number.
So, from the given options, option C is the only polynomial
The axis of symmetry of a quadratic function
is given by the equation
, where h is the x-coordinate of the vertex and is equal to
.
1.
2.
3.
The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
The product of two perpendicular slopes is always -1
Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
