Holland added three decimals that made a sum of 2. One of the decimals was 0.34. What are two other decimals Holland could have
2 answers:
<u>Solution: </u>
Let us assume that the three decimals are x, y and z.
As given in the problem one of the decimal z = 0.34
The sum of the three decimal is 2
So,
(substituting the value of z)
Now as there is no rule for the other two decimals, so we can take any two decimals whose sum is 1.66
So the values can be (1.01, 0.65) or (1.06, 0.6) or (0.83, 0.83) etc.
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Answer:
[Vertex form]
Step-by-step explanation:
Given function:
We need to find the vertex form which is.,
where represents the co-ordinates of vertex.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.
Isolating and
terms on one side.
Subtracting both sides by 15.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term =
Adding 36 to both sides.
Since is a perfect square of
, so, we can write as:
Subtracting 21 to both sides:
Dividing both sides by -3.
[Vertex form]