Answer:
Ellipses (special case is called a circle), hyperbolas, parabolas.
Step-by-step explanation:
These are all conic sections.
A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.
The illustration below gives more insight into the question.
I hope this helps.
Answer:

Step-by-step explanation:
First, we can make an equation by adding all the ages together and dividing it by the sum of the frequencies.

Now simplify.

We can divide this number by the sum of the frequencies.

Answer:

Step-by-step explanation:
In this case the transformation being done to the graph of f is a dilation. To find the value that is dilating the graph, you can compare 2 points. First, figure out what axis is changing. In this example, we can see that the y values changed. That means that the value that dilates the graph is outside of the function f(x) as it is modifying the output. Since it's only the y-values changing, we need to grab 2 points with the same x values but differents y values. The 2 points that make this the easiest are (2,-3) on f and (2,-1) on g. If we compare the 2, we see that the y-values between f and g changed. If we were to make a ratio of the change, we would get:

Therefore, the dilation factor is one third. This is being applied to the y-values so it is placed outside the function, meaning that the answer is:

Answer:
D) Angle DAC is congruent to Angle BAC
Step-by-step explanation:
Given:
The triangles ABC and ADC are congruent by SAS postulate.
SAS postulate means two corresponding sides are congruent to each other and the included pair of angles are also congruent to each other.
From the figure, consider the triangles ABC and ADC.
AB = AD (Given)
AC = AC ( Reflexive property. Side AC is a common side to both triangles)
Now, the pair of angles included between these two pair of sides are angle BAC and angle DAC.
So, in order to prove the two triangles congruent by SAS postulate, we need to prove angle DAC congruent to angle BAC. Therefore, the correct option is option D.