1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
coldgirl [10]
3 years ago
15

Which of the following is a foci of x2/16-y2/4 ? (2√5, 0) (0, 2√5) (2√3, 0)

Mathematics
1 answer:
Rudiy273 years ago
3 0

foci of \frac{x^{2}}{16} -\frac{y^{2}}{4}  =1 is (2\sqrt{5}, 0). correct option a.

<u>Step-by-step explanation:</u>

Complete equation of Hyperbola for the above question is x2/16-y2/4  = 1 or \frac{x^{2}}{16} -\frac{y^{2}}{4}  =1  , Simplify each term in the equation in order to set the right side equal to  1 . The standard form of an ellipse or hyperbola requires the right side of the equation be  1 . This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola:

\frac{(x-a)^{2}}{a^{2}}  - \frac{(y-k)^{2}}{b^{2}}  = 1

a=4 , b = 2, h = 0 , k= 0

Find the distance from the center to a focus of the hyperbola by using the following formula:

\sqrt{a^{2}+b^{2}}

Substitute the value of  a  and  b  in the formula.

\sqrt{4^{2}+2^{2}} = 2\sqrt{5}

The first focus of a hyperbola can be found by adding  c  to  h

(h+c,k)

Substitute the known values of h ,  c , and  k into the formula and simplify:

(2\sqrt{5}, 0) . ∴ foci of \frac{x^{2}}{16} -\frac{y^{2}}{4}  =1 is (2\sqrt{5}, 0). correct option a.

You might be interested in
A stadium has 39 sections. there are 18 sections that each have 478 seats. The remaining sections each have 292 seats. If 13,528
vesna_86 [32]

Answer: 1,208 seats

Step-by-step explanation:

39-18= 21

18 x 478 = 8,604

21 x 292 = 6,132

8,604 + 6,132 = 14,736

14,736 - 13,528 = 1,208

6 0
3 years ago
Please help i need to turn it in
larisa [96]

Answer:

978 in

Step-by-step explanation:

(9x6)+(18x18)+(25x24)=978

4 0
3 years ago
Read 2 more answers
Please simplify this it would help a lot
dexar [7]

Answer:

-1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Can somebody fill in the blanks for me.
alukav5142 [94]

Answer:

Step-by-step explanation:

2: exterior and opposite

3:supplementary

5: angles and equal

6: supplementary

4 0
3 years ago
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
3 years ago
Other questions:
  • 2.select the correct answer
    14·1 answer
  • A square pyramid with a height of 7 inches has volume of 47.25 cubic inches. Find the side length of the square base
    6·1 answer
  • Witch set of numbers could represent the side lengths of a right triangle
    5·1 answer
  • What is the most precise name for quadrilateral ABCD with vertices A(-3,1) , B(-1,4) , C(5,4) , and D(3,1)?
    6·2 answers
  • What is 3x-4y=4 using substitution method
    15·1 answer
  • 1) Jan is buying new flooring for her kitchen. The kitchen is a rectangle that is 3
    11·1 answer
  • How many yards are in 6.5 miles
    10·2 answers
  • If (x+2) is a factor of 3x^2+14x+k, what is the value of k?
    13·1 answer
  • Why are that im in 7th grade and still cant find some answers to work with.
    8·1 answer
  • Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!