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
Sergio [31]
3 years ago
8

Find the equation of the ellipse with the following properties:

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer: The equation of an ellipse:

(

x

−

h

)

2

a

2

+

(

y

−

k

)

2

b

2

=

1

;

a

>

b

Has vertices at

(

h

±

a

,

k

)

Has foci at

(

h

±

√

a

2

−

b

2

,

k

)

Use the vertices to write 3 equations:

k

=

4

[1]

h

−

a

=

−

6

[2]

h

+

a

=

10

[3]

Use equations [2] and [3] to solve for h and a:

2

h

=

4

h

=

2

a

=

8

Use the focus to write another equation:

8

=

h

+

√

a

2

−

b

2

Substitute values for h and a:

8

=

2

+

√

8

2

−

b

2

6

=

√

64

−

b

2

36

=

64

−

b

2

b

2

=

64

−

36

b

2

=

28

b

=

√

28

Substitute the values into the standard form:

(

x

−

2

)

2

8

2

+

(

y

−

4

)

2

(

√

28

)

2

=

1

You might be interested in
Helpppppp 50 pointssss
djyliett [7]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, a
andrey2020 [161]

Answer:

C. 97.5 yd

Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

b = distance between tee and the hole = 255 yd

C = 18°

c² = 300² + 255² - 2(300)(255)cos(18)

c² = 90000 + 65025 - 153000 × 0.951

c² = 155025 - 145503

c² = 9522

c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

6 0
3 years ago
Please answer this correctly
jolli1 [7]

Answer:

6 times

Step-by-step explanation:

1/9 chance you get the orange marble. If you pick 54 times, you can expect to get the orange marble 6 times.

5 0
3 years ago
Consider the line y= -7/4x+8
VARVARA [1.3K]
Perpendicular line has slope that multiplies to -1
paralel line has same slope

y=mx+b
slope=-7/4
perpendicular
4/7
(-7,-2)
-2=4/7(-7)+b
-2=-4+b
add 4 both sides
2=b
y=4/7x+2


paralel
y=-7/4x+b
-2=-7/4(-7)+b
-2=49/4+b
minus 49/4 from both sides (-2=-8/4)
-57/4=b
y=-7/4x-14.25


perpendicular
y=4/7x+2
paralel
y=-7/4x-14.25
8 0
3 years ago
On the three quizzes so far, Eric has scored 75, 92, and 83. What must he score on the fourth
AVprozaik [17]
He can make a 70 or higher to keep a B avg.
3 0
3 years ago
Other questions:
  • Need help with finding the x!!!
    14·1 answer
  • Whixh graph shows a plot of the complex number I -2?
    15·1 answer
  • Consider the system of equations
    14·1 answer
  • Tell whether the square root of .25 is rational or irrational. Explain.
    14·1 answer
  • Mrs. Johnson is skydiving over the ocean and is descending at a rate of rate of 225 feet every
    11·1 answer
  • I need both Rn !!!! <br> Pls help
    15·1 answer
  • Simplify the expression (-502) square root 0
    6·1 answer
  • A warehouse floor has a perimeter of 4,614 yards. What is the perimeter of<br> the floor in feet?
    9·2 answers
  • PLZ HELP ITS DUE TODAY
    15·1 answer
  • Write the equation of a line in standard form that has x-intercept (−P, 0) and y-intercept (0, R).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!