Im not sure what it means by the entire triangular region so ill tell you that the highlighted right triangle's area is 60, and the area for both triangles is 120. semicircle area is 201.06. total area for entire shape is 321.06.
Hey there! :D
To find a vertex on a graph, you would need to look at where the line stops. This place where there is a distinct curve or stopping point and at least one line is going infinity in one direction is the vertex. The graph is much easier than any other method, because it is visual. If I was looking at the vertex on a table, I would see (especially on a quadratic) if there was a pattern to the points. Most points are opposite of each other, so it can be helpful to look at a pattern. In an equation, a parent function can help to see where the vertex is, as well (for quadratics) finding the line of symmetry with the equation to find the vertex. (-b/2a) The strategies are very different, some are easier than others. For example, I would much rather look at a graph for a vertex then do an equation to find it. Some involve looking, seeing a pattern, and others solving. They are all very different but can all be extremely helpful!
I hope this helps!
~kaikers
Answer: Option 'a' is correct.
Step-by-step explanation:
As we know about the discriminant value i.e.
if we have given a quadratic equation :

then,
discriminant value will be

There are 3 properties regarding discriminant value as follows:

So, here we need a zero real number solutions i.e. there does not exists any real number.
So,

Hence, Option'a' is correct.
Answer:
Step-by-step explanation:832