The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the ordered pair for the center.
(x - (- 3))² + (y - 6)² = 10²
(x + 3)² + (y - 6) = 100
Here you have black dots at x = {0, 1, 2, 4, 4.5, 5}.
For each of these x-values, there is one and only one associated y-value. This fact tells us that the graph does represent a function.
Answer:
28 cm
Step-by-step explanation:
The formula for the area of a triangle is 1/2bh
Here we have 1/2 (14)(4)
That comes to 28 cm
x
4
+
50
x
2
+
625Rewrite
625
as
25
2
.
u
2
+
50
u
+
25
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
u
⋅
25
Simplify.
2
a
b
=
50
u
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
u
and
b
=
25
.
(
u
+
25
)
2
Replace all occurrences of
u
with
x
2
.
(
x
2
+
25
)
2
250 = 5 x is the equation you can use
