The table above shows the relationship between the number of blue blocks (b) and the total number of blocks (t) in a stack. Whic
h of the following equations best represents the relationship in the table? A,t = b − 4 B.t = b + 6 C.t = b × 2 D.t = b + 4
1 answer:
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Answer:
The equation of a parabola is
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
The general form is:
The vertex form is:
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts:
Answer: (a)
(b)
(c)
(d)
Step-by-step explanation:
Properties of exponents :
1)
2)
3)
4)
Now , we simplify the given expression using the above properties.
a)
[By property (1)]
[∵ (+)(-)=(-)]
b)
[By property (3)]
[∵ (-)(-)=(+)]
c)
[By property (2)]
[By property (4)]
d)
[By property (3)]