What is the distance between points V(3, 3) and W(–2, –3)?
2 answers:
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Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal
- divide the whole equation be coefficient of
, this will give
- add
to both side of equality
- Make one fraction on the right side and compress the expression on the left side
- rearrange the terms will give the vertex form of standard quadratic equation
Follow the above procedure will give the vertex form.
(NOTE : you must know that . Use this equation in transforming the equation from step 3 to step 4)
Answer:
x ≈ 3.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = =
=
( multiply both sides by 9 )
9 × sin23° = x , then
x ≈ 3.5 cm ( to 1 dec. place )
Given:
The expression is:
To find:
The difference.
Solution:
We have,
It can be rewritten as:
Taking LCM, we get
Therefore, the value of the difference is .