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
Answer:
1 / 27 cm^3
Step-by-step explanation:
Given,
side = 1 / 3 cm
To find : Volume ( cube ) = ?
Formula : -
Volume ( cube ) = ( side )^3
Volume ( cube )
= ( 1 / 3 )^3
= 1^3 / 3^3
= 1 / 27
= 1 / 27 cm^3
Answer: x < -3
Step-by-step explanation:
-3*x-4-(5)>0
Answer:
A. The solutions are
.
B. The factored form of the quadratic expression 
Step-by-step explanation:
A. To find the solutions to the quadratic equation
you must:


The solutions are:

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.
To factor
:
First, multiply the constant in the polynomial by
where
is equal to -1.

Since both terms are perfect squares, factor using the difference of squares formula


Answer:
13.8
Step-by-step explanation:
His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.
Dive = platform + under the surface
Dive = 10 + 3.8
Dive = 13.8