9514 1404 393
Answer:
Step-by-step explanation:
A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.
Rotational symmetry of 40° applies.
Rotational symmetry of 200° applies.
Answer:
<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>
Step-by-step explanation:
The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.
So the point where it scoops up is (1, -18)
The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.
The places where it touches the x-axis is -1 and 3
Hello there, to answer your question...
<h2>1.95 is 1.5% of 130.</h2><h2 />
I hope the information I provided has helped.
Answer:
Step-by-step explanation:
The given expression is 
.
This expression is the same as;
.
Or
.
We regroup the terms to obtain;
We simplify to get
Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.
Because we know 3 and -1 (multiplicity 2) are both roots, the last root 
is such that we can write
There are a few ways we can go about finding , but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be 
.
Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have
so the missing root is 3.
Other things we could have tried that spring to mind:
- three rounds of division, dividing the quartic polynomial by 
, then by 
twice, and noting that the remainder upon each division should be 0
- rational root theorem
