Answer:
it's 2
Step-by-step explanation:
8/4= 2
4/2= 2
therefore, the commom ratio of the sequence is 2
Answer:
We call the horizontal line the x-axis and the vertical line the y-axis. We let the right of the x-axis represent positive x values, while the top of the y-axis represents positive y values. The intersection point is where x = 0 and y = 0 is called the origin.
Answer:
Option A and C have rotational symmetry.
Step-by-step explanation:
The graph of odd functions have rotational symmetry about its origin.
Here the first graph is a graph of f(x)= which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in then it gives negative of .
And we also know that when a graph is mirroring about the y-axis then it is an even functions.
For even functions we have reflection symmetry rather than rotational symmetry.
The second graph is a graph of which is an even function as we can see that its graph is mirroring about the y-axis.
The third graph is a graph of an ellipse which is possessing rotational symmetry.
The order of symmetry of an ellipse is generally 2.
Order of symmetry:
The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.
So graph A and C have rotational symmetry.
Answer:
The length of the third side of the triangle is 8 units
Step-by-step explanation:
Here, since the two sides are adjacent a square, what this means is that the length of the square equals the length of the sides of the triangle adjacent to it.
Mathematically, the formula for the area of a square is L^2
With an area of 32 square units, the length of the side of this triangle is thus √(32) =
4√2 units
So we have two sides of the right triangle with length 4√2 units
Now we should know that this right triangle is an isosceles right triangle since the lengths of the adjacent and the opposite are equal.
Now to calculate the length of the third side which is the hypotenuse, we make use of the pythagoras’ theorem which states that the square of the longest side of a right triangle which is the hypotenuse is equal to the sum of the squares of the other two sides
Thus mathematically, the square of the hypotenuse length is 32 + 32 = 64
Let’s call the hypotenuse h for documentation purposes
h^2 = 64
h = √64
h = 8 units
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