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
Step-by-step explanation:
Area = length×breath
=18×11
=198cm²
Answer:
n ≥ -1 or n ≤ 3
Combined:
-1 ≤ n ≤ 3
Since the inequalities are ≤, it'll be a closed circle
The closed circle will start AT -1 and another closed circle will end at 3
There is a way to work it out with a pencil and paper, but that's too complicated
to try and explain with only text, like we have here.
I don't usually recommend this for things that can be done easily on paper ...
but for square roots, your best bet is to use a calculator.
The square root of 30 does not come out even. It starts out 5.477225...
and it keeps going and never ends.
The negative of 5.477225... is also a square root of 30. Every number has
two square roots ... the positive and negative of the same number.
Answer:
2
Step-by-step explanation:
When you "flip" the fraction, switching the numerators and denominators, you get 2/1 which is just 2.