Rewrite the equation in vertex form. y = x2 - 6x + 18
2 answers:
Complete square!
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
3^2=9
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
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Answer:
6 units
Step-by-step explanation:
Use the distance formula, .
Plug the x and y values from the given points into the distance formula:
.
Solve the square root:
=
=
Polynomials are linear combinations of positive integer powers. For example,
is a polynomial, but
is not.
(In case you're unfamiliar with the term, a linear combination of two quantities is the sum of scaled versions of those quantities, e.g. a general linear combination of and
is
, where
are any numbers.)
is not a polynomial; the offending term is
, or
.