I remember dis, yey
so if a polynomial has roots
,
,
, it can be factored into
where a,b,c,d are constants
also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root
so our roots we need are
4,16, 1+9i and 1-9i
so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])
we get that your function is
which simplifies to
which expands to
Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
Factorize 
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
50 x 4 = 200 minutes
The reason why I multiplied by 4 was because 12 divide 3 = 4
200 minutes is equal to 3 hours 20 minutes
There's your answer
Hope this helps!
The first thing we must do for this case is to find the surface area of the rectangular prism.
We have then:
A = 2 * (l * h) + 2 * (h * w) + 2 * (w * l)
Where,
w: width
l: long
h: height
Substituting values we have:
A = 2 * (10 * 8) + 2 * (8 * 8) + 2 * (8 * 10)
A = 448 in ^ 2
Answer:
the least amount of wrapping paper needed to wrap the gift box answer is:
A = 448 in ^ 2
The answer is 7.85
First, you divide the diameter by two to get the radius (2.5) and then you multiply by pi(3.14) to get 7.85
