Written form: fifty thousand eight hundred ninety-seven.
expanded form: 50000+800+90+7
The answer is FALSE. Theorem, as applied in mathematics, is a statement
that has been proved having a basis of laborious mathematical reasoning. The statement
that is assumed to be true without proof is called axiom or postulate. Theorems
are proved using axioms.
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
4
)
Focus:
(
3
,
−
15
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
17
4
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
1
0
2
−
3
3
−
4
4
−
3
5
0
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
4
)
Focus:
(
3
,
−
15
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
17
4
x
y
1
0
2
−
3
3
−
4
4
−
3
5
0
Answer:
4). (x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
x^2 + y^2 + 4x - 2y - 20 = 0
x^2 + 4x + y^2 - 2y = 20
Completing the square on the x and y terms:
(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20
(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1
(x + 2)^2 + (y - 1)^2 = 25.
