True.
Let's say that you have two pieces of paper that both represent planes. If you cross them, you'll be able to see that the intersection of these two pieces of paper is a line.
Answer:
D
Step-by-step explanation:
<em>Midpoint Formula:</em>
⇒ 
⇒ 
⇒ 
⇒ ⇒
Answer:
If KC = 31 then KN = 33
Step-by-step explanation:
Answer:
About 3800
Step-by-step explanation:
Step-by-step explanation:
Use the standard form to write two equations using points A and B:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
r
2
(
5
−
h
)
2
+
(
1
−
k
)
2
=
r
2
Because
r
2
=
r
2
, we can set the left sides equal:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
(
5
−
h
)
2
+
(
1
−
k
)
2
Expand the squares using the pattern
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
4
+
4
h
+
h
2
+
k
2
=
25
−
10
h
+
h
2
+
1
−
2
k
+
k
2
Combine like terms (noting that the squares cancel):
4
+
4
h
=
25
−
10
h
+
1
−
2
k
Move the k term the left and all other terms to the right:
2
k
=
−
14
h
+
22
Divide by 2
k
=
−
7
h
+
11
[1]
Evaluate the given line at the center point:
2
h
+
k
−
1
=
0
Write in slope-intercept form
k
=
−
2
h
+
1
[2]
Subtract equation [2] from equation [1]:
k
−
k
=
−
7
h
+
2
h
+
11
−
1
0
=
−
5
h
+
10
h
=
2
Substitute 2 for h in equation [2]
k
=
−
2
(
2
)
+
1
k
=
−
3
Substitute the center
(
2
,
−
3
)
into the equation of a circle using point A and solve for the value of r:
(
−
2
−
2
)
2
+
(
0
−
−
3
)
2
=
r
2
(
−
4
)
2
+
3
2
=
r
2
r
2
=
25
r
=
5
Substitute the center
(
2
,
−
3
)
and #r = 5 into the general equation of a circle, to obtain the specific equation for this circle:
(
x
−
2
)
2
+
(
y
−
−
3
)
2
=
5
2
