The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
The equation of a circle of <u>radius r and center</u> is given by:
- The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.
In this problem, the circular path is modeled by:
We complete the squares to place it in the standard format, thus:
Thus, the radius is:
Then, the diameter is:
The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
A similar problem is given at brainly.com/question/24992361
The question is incomplete. The complete question is :
A population of mutant Venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.
Solution :
It is given that:
Venus fly trap plant is capturing everything on its way from small insects to other small rodents.
When they were first discovered, it covered an area of 4 square kilometers. But as more population grew and as years passed by, they spread over large land and covered more land.
Now from the table, it is seen that :
It covered 4 km square when discovered.
Then it covered 6.68 km square in the first year.
It covered 11.16 km square in the second year.
It covered 18.63 km square in the third year.
It covered 31.11 km square in the fourth year.
Therefore the equation which represents the growth is given by :
The answer is B.
x² + 7x + 10 factors into (x + 2)(x + 5), so x = -2 and x = -5. Since the y-intercepts of the graph are also -2 and -5, you know that the function correlates to that graph.