The standard equation of a circle with center
(
h
,
k
)
is
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
, with radius
r
.
When we have a circle centered at the origin, this equation turns into
x
2
+
y
2
=
r
2
Notice that our
(
h
,
k
)
goes away. We know that
r
=
8
, so we can plug this in. We get
x
2
+
y
2
=
8
2
⇒
x
2
+
y
2
=
64
Hope this helps!
Answer:
Step-by-step explanation:
12 NO WELCOME
:)
Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
Answer:
C
Step-by-step explanation:
The range is the values of y that extend from the vertex downwards
The vertex = (- 2, - 1) → y = - 1
range is (- ∞, - 1 ]