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JulijaS [17]
3 years ago
13

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.

Mathematics
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.

3 0
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:

7 0
3 years ago
Read 2 more answers
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:

6 0
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)
8 0
3 years ago
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