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:
y = -2
Step-by-step explanation:
The y-intercept is the y-coordinate of the point where the curve intersects (crosses) the y-axis, i.e. when x = 0.
Therefore, to find the y-intercept, substitute x = 0 into the function:
![f(0)=\sqrt[3]{0+1} -3=\sqrt[3]{1} -3=1-3=-2](https://tex.z-dn.net/?f=f%280%29%3D%5Csqrt%5B3%5D%7B0%2B1%7D%20-3%3D%5Csqrt%5B3%5D%7B1%7D%20-3%3D1-3%3D-2)
Therefore, the curve crosses the y-axis at (0, -2) and so the y-intercept is
y = -2.
Answer:
1 hour and 40 minutes
Step-by-step explanation:
→ Convert 3 hr and 25 minutes to minutes
( 3 × 60 ) + 25 = 205 minutes
→ Convert 1 hr and 45 minutes to minutes
( 1 × 60 ) + 45 = 105 minutes
→ Minus the answers from each other
205 - 105 = 100 minutes
→ Convert 100 minutes to hours and minutes
1 hour and 40 minutes
