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nexus9112 [7]
3 years ago
6

rs%3F%7D" id="TexFormula1" title=" \large \tt \blue{What \: are \: prime \: numbers?}" alt=" \large \tt \blue{What \: are \: prime \: numbers?}" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0
The numbers that are divisible by 1 and the number itself is called a prime number. Eg: 1,2,3,5,7,11,13,17,19
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The amount of water is 30 gallons a minute

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Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
konstantin123 [22]

Answer:

The equation of a parabola is

x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

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:

x =  -  \frac{y ^{2} }{2}  - 4y -  \frac{13}{2}

The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

The vertex form is:

x =  -  \frac{(y + 4) ^{2} }{2}  +  \frac{3}{2}

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:

( -  \frac{13}{2}  \: ,0)

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

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Write the number with the same value as 32 tens
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The number with the same value as 32 tens is 320.
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Need help with this question please!
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The answer is definitely B
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