Answer:
48 points
Step-by-step explanation:
255/85=3
16X3=48
the idea behind the completion of the square is simply using a perfect square trinomial, hmmm usually we do that by using our very good friend Mr Zero, 0.
if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.
keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b", so in this case the middle term is "-x", and the 1st term is x², so we can say that
so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.
Answer:
a) Vertex:
b) Vertex:
Step-by-step explanation:
First we need to realize that these equations are the equations of parabolas.
the equation of parabola are generally written as:
where the vertex is the point . <u>(note that the sign of 'h' is changed!)</u>
<u>(also note that the value of 'a' doesn't matter for finding vertex point)</u>
given this information we can now easily find out the vertex of both parabolas
a)
by comparing it with the general equation above, we can see that -5 is in the place of '-h' and +3.5 is in the place of '+k'
we can write
and solve for h.
similarly,
hence the vertex of this graph is
b)
by comparing it with the general equation above, we can see that +1 is in the place of '-h' and -8 is in the place of '+k'
we can write
and solve for h.
similarly,
hence the vertex of this graph is
One goes up and down and the other goes side to side
Answer:
1
Step-by-step explanation:
in to three decimal places
r-value =1