Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
Quadrant IV is also known as the 4th quadrant. Imagine it like a C: 1st quadrant is in the top right, 2nd quadrant is in the top left, 3rd quadrant is in the bottom left, and the 4th quadrant is in the bottom right. With this information in mind, the answer is A) P, B, K
Urban ecosystem. 1) Birds - their limiting factor is the number of trees that can support their young2) Trees - amount of fertile soil, since buildings are abundant they can't grow properly3) Wild dogs - having a hard time to feed themselves due to scarce foodThank you for your question. Please don't hesitate to ask in Brainly your queries.
In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.

and

Represent the interval where both functions are increasing on the number line provided.
Answer:
See attached picture
Step-by-step explanation:
Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)
Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:
(0,∞)
and the g(x) graph increases in the interval:
(-∞,4)
so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)
so that's the interval we draw on our number line. (see attached picture.
The hot dogs remaining are decreasing by 11 as 2 minutes go by.
11 / 2 = 5.5
So he's eating 5.5 hot dogs per minute.
Minutes 2 4 6 8 9
Hot dogs remaining 49 38 27 16 5