First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work.
Here is the graph.
What you can see is that this graph is symmetrical around the x axis.
When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.
In this case, the mirror will show symmetry along the x axis and no where else.
Answer:
C 1/2
Step-by-step explanation:
There are 4 suits, 2 suits are red (hearts and diamonds) while 2 are black (clubs and spades)
Since 13 cards are in each suit, 26 cards are red ( 2 * 13)
There are 52 total cards
P (red) = red cards/ total cards
= 26 / 52
= 1/2
The answer should be 24 square units.
5 is the hypotenuse and the one we need is the base and the height. They gave us the height, which was 6 in total but 3 for the triangle. But we needed to find the base.
In order to do that, we need to use the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=5^2
9+b^2=25
Subtract 9 from both sides
b^2=16
Then square root both sides.
b=4.
Now that we have the base, you can then find the area of the triangle.
BH/2
4*3/2
12/2
6
So one triangle equals to 6. Then multiply that by 4 to find the area of the rhombus. Which would be 24 square units.
Answer:
Step-by-step explanation:
We have to diagonalize the matrix
![\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%260%5C%5C5%261%264%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D)
we have to solve the expression

Thus, by applying the determinant we obtain the polynomial



and the eigenvector will be

HOPE THIS HELPS!!
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