Answer:
The answer is A. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1 or C. Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1
Step-by-step explanation:
Vertex:
(−1,0)
Focus:
(−1,−1/4)
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
1
4
x
y
−
3
−
4
−
2
−
1
−
1
0
0
−
1
1
−
4
Vertex:
(
−
1
/2
,
−
1
/2
)
Focus:
(−1/2,−5/8)
Axis of Symmetry:
x
=
−
1
2
Directrix:
y
=
−
3
8
x
y
−
2
−
5
−
1
−
1
−
1
2
−
1
2
1
−
5
2
−
13
Vertex:
(
−
1
,
0
)
Focus:
(
−
1
,
−
1
/4
)
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
1
4
x
y
−
3
−
4
−
2
−
1
−
1
0
0
−
1
1
−
4
Vertex:
(
−
1
/2
,
9
/4
)
Focus:
(
−
1/2
,
2
)
Axis of Symmetry:
x
=
−
1
2
Directrix:
y
=
5
2
x
y
−
2
0
−
1
2
−
1
2
9
4
1
0
2
−
4
<span>1, 2, 3, 5, 6, 10, 15, 30 represent the factors of 30, the GCF. </span>
a) 4x +6
Add up all the sides to calculate perimeter
Answer:
Length of the longer diagonal is 53 feet.
Step-by-step explanation:
We are given that,
Dimensions of the parallelogram is 40 feet and 20 feet and the smaller angle is 60°.
Let, the length of the diagonal be 'x' feet.
As the smaller angle is 60°, then the larger angle will be = = = 120°
Using the Law of Cosines for the triangle made by the diagonal, we have,
i.e.
i.e.
i.e.
i.e. x= 53 feet
Thus, the length of the longer diagonal is 53 feet.