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:
Step-by-step explanation:
Length of rectangular garden (l) = 16 feet
Width of rectangular garden (w) = 4 feet
Answer:
New area is 175 42/45 feet ²
Step-by-step explanation:
Given data
Length l= 15 1/4
To proper fraction = 61/4 feet
Width w= 8 11/15
To proper fraction = 131/15 feet
Extention = 1 2/3
To proper fraction = 5/3
Dimensions of new rectangle
Length =61/4+5/3 = 183+20/12
LCM = 12 = 203/12
Width = 131/15+5/3= 131+25/15
LCM = 15 = 156/15
Area = 203/12*156/15= =31668/180
=31668/180
= 7917/45
= 175 42/45 feet ²
Answer:243
/3125
(Decimal: 0.07776)
Step-by-step explanation:((32)(5−2))2(3(5−1))
((32)(5−2))2(3(5−1))
2 digit meaning that it has 2 numbers. For example, 66 is a two digit number.
Now, they also said it must be prime, meaning that its factors can only be 1 and itself.
Also, it must be odd.
Answer: 67
Now, do the same, except the number must be composite, as meaning that it has other factors.
Answer: 21