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Nesterboy [21]
3 years ago
12

Which of the following is both a rational number and an integer

Mathematics
1 answer:
Simora [160]3 years ago
6 0
Qoqqooqoqoqoqoqqqppppp
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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)}

3 0
2 years ago
An elephant can run one over four mile in 36 seconds. Which of the following correctly shows this rate as miles per hour?
Ainat [17]

Answer:

C. One-fourth mile over thirty-six seconds = 25 miles per hour.

We have been given that an elephant can run one over four of a mile in 36 seconds.

To find elephant's rate in miles per hour, we will convert our given time in hours as shown below:

Therefore, option C is the correct choice.

Step-by-step explanation:

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Which of the following could be the lenght of the sides of a 30 -60 -90 degree triangle
cupoosta [38]
There’s no picture so I’ll give my own answers.
The long side needs to be x radical 3, the short leg is just x, and the hypotenuse is 2x. So one example could be 5 radical 3, 5, and 5 times 2
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Its 56$ and you saved 14$
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PLEASE HELP I NEED THIS NOW PLEASE PLEASE PLEASE PLEASE PLEASEEEEE
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Answer:

3

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