9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Hello from MrBillDoesMath!
Answer: SAS = side - angle -side congruence
SSS = side - side - side congruence
Discussion
:
In Plane Geometry, identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.
In one approach ("SSS") if you can show that 2 triangles have identical side lengths, then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)
In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle, then the triangles are congruent
It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook
Regards, MrB
Answer:
C
Step-by-step explanation:
C
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.
Since g(x) is in the divisor position, it cannot equal 0.
Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
