Answer:
Shifted right 6 units.
Step-by-step explanation:
can be written as a squared binomial since it is of the form:
which can be written as 
.
When comparing the expression to the trinomial just mentioned it should be noted that 
is -6. So can be written as: 
.
Note: Vertex form of a quadratic is 
where (h,k) is the vertex.
The vertex of the parent is (0,0) and the vertex of is (6,0). So the parent has shifted right 6 units to get to where is located.
Answer:
cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here diameter = 4 cm , hence r = 4 ÷ 2 = 2 cm
V = π × 2³ = π × 8 = 
cm³
Thus
combined volume = + 15π = + 
= cm³
Answer:
Therefore, the square root of 16 is an integer, and as a consequence 16 is a perfect square.
As a consequence, 4 is the square root of 16.
Step-by-step explanation:
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 16 is 4.
Therefore, the square root of 16 is an integer, and as a consequence 16 is a perfect square.
As a consequence, 4 is the square root of 16.
The complete factorized form for the given expression is 
<u>Step-by-step explanation:</u>
Step 1: Given expression:
Step 2: Trying to factor as a Difference of Squares
Factoring
As we know the theory that the difference of two perfect squares, 
can be factored into (A+B) (A-B)
from this, when analysing, 81 is the square of 9, 
is the square of 
. Hence, we can write the given expression as,
By using the theory, we get
Again, we can further factorise the term 
is the square of 
. Therefore, it can be expressed as below
Now, we can not factorise further the term 
. Because it will come as 
(3 is not a square term). Thereby concluding that the complete factorisation for the given expression is
Answer:
Chile anyways so-
Step-by-step explanation:
