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Maksim231197 [3]
3 years ago
13

Help!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

The answer is A

Step-by-step explanation:

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Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
krok68 [10]

Answer:

y^2=\frac{1}{8}x

Step-by-step explanation:

The focus lies on the x axis and the directrix is a vertical line through x = 2.  The parabola, by nature, wraps around the focus, or "forms" its shape about the focus.  That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type.  The standard form for this type is

(x-h)=4p(y-k)^2

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one).  That means that the vertex has to be equidistant from the focus and the directrix.  If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0).  So h = 0 and k = 0.  p is the number of units from the vertex to the focus (or directrix).  That means that p=2.  We fill in our equation now with the info we have:

(x-0)=4(2)(y-0)^2

Simplify that a bit:

x=8y^2

Solving for y^2:

y^2=\frac{1}{8}x

3 0
3 years ago
3x=18<br><br> what is the answer
Wittaler [7]

Answer:

6

Step-by-step explanation:

divide 18 by 3 you get x=6

7 0
4 years ago
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Solve the system by substitution. Check your solution. A minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12 a. (15, 15) c. (13, 12) b.
Mrrafil [7]

Answer:

The answer to the question is -1.32

Step-by-step explanation:

The first step will be to write out the equation that we are working with:

This equation is

0.2b + 0.6a = 12

The next step is to write out the values of the figures that we are substituting:

a = -1.2 b=-3

Substitution in mathematics can best be understood as "something being used in place of another thing". This means that wherever the first variable appears in an equation, the substituting values will replace it and multiply the number it is attached to.

In this case, we will replace the 'b' and the 'a' with the - 1.2 and - 3 respectively.

0.2(-3) + 0.6(-1.2) = -1.32

6 0
3 years ago
Read 2 more answers
WILL GIVE BRANLIEST JUST SOLVE FOR X IN 4X+7
Nostrana [21]

Answer:

-7/4

Step-by-step explanation:

7 0
3 years ago
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It takes Fred 32 minutes to type and spell check 5 pages of a manuscript. Find how long it takes
sveta [45]

Answer:

26

Step-by-step explanation:

we \: rounded \: it \: to \: the \: nearest \: whole \: number

6 0
3 years ago
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