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3 years ago

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45 PTS!!! please help! Place the correct inequality interval in the appropriate blank. All intervals are listed with the variabl

e (x) regardless of the variable in the problem. There is one answer for each question.

1 answer:

Marizza181 [45]3 years ago

4 0

Answer:

im sorry i can barely see it

Step-by-step explanation:

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16: Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the Hyperbola y^2-16x

Morgarella [4.7K]

Answer:

Foci $(0,\pm\frac{\sqrt{17}}{4})$

Vertices: $(0,\pm 1)$

Eccentricity, e= $\frac{\sqrt{17}}{4}$

Length of latus rectum= $\frac{1}{8}$

Step-by-step explanation:

We are given that

$y^2-16x^2=1$

$y^2-\frac{x^2}{(\frac{1}{4})^2}=1$

The equation of hyperbola is along y-axis because y is positive

Compare the equation with

$y^2/a^2-x^2/b^2=1$ (Along y-axis)

We get

a=1, b=1/4

$a^2+b^2=c^2$

$1+\frac{1}{16}=c^2$

$\frac{16+1}{16}=c^2$

$c^2=\frac{17}{16}$

$c=\pm \frac{\sqrt{17}}{4}$

Therefore,

The coordinates of foci= $(0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})$

The coordinated of vertices= $(0,\pm a)=(0,\pm 1)$

Eccentricity, e=c/a

$e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}$

Length of latus rectum= $\frac{2b^2}{a}$

Length of latus rectum= $2\times \frac{1}{16}=\frac{1}{8}$

3 0

3 years ago

Is it b or d can't decide

goblinko [34]

it's J. f and g are in the wrong order, with the m and f being flipped. h has zero as an option, and that doesn't make sense. J is the correct answer.

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3 years ago

On a coordinate plane, a parabola opens up. It goes through (negative 7.5, 4), has a vertex of (negative 3, negative 9), and goe

oksano4ka [1.4K]

Answer:

3rd one on EDGE

Step-by-step explanation:

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3 years ago

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There are 50 animals in a shelter. Sixty percent of the animals are dogs. Which equation can be used to find the number of dogs

prisoha [69]

Answer:

sixty percent of 50 is 30. So i would say the first one. 30 dogs out of 50 animals.

Step-by-step explanation:

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3 years ago

What is the volume of this rectangular prism? 1/2, 4, 3/2

netineya [11]

I’m guessing that the answer is 3
( I don’t see anything)

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3 years ago