Answer:
3 animals
Step-by-step explanation:
- combine like terms
- 6 + 2x = 15 + x
- -6 + x - 6 - x
--------------------------
3x = 9
2. divide both sides by 3
ANSWER
The vertex of the graph of

is

EXPLANATION
The vertex form of a parabola is given by

where

is the vertex of the parabola.
The function given to us is

This is already in the vertex form.
When we compare this to the general vertex form, we have,


and

Therefore the vertex of the parabola is

Hence the correct answer is option A.
Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector minus the area of the triangle
step 1
Find the area of the circle
the area of the circle is equal to

we have

substitute


step 2
Find the area of the sector
we know that
The area of the circle subtends a central angle of 360 degrees
so
by proportion find out the area of a sector by a central angle of 72 degrees

step 3
Find the area of triangle
The area of the triangle is equal to

step 4
Find the area of the shaded region
Subtract the area of the triangle from the area of the sector
