Given the information below, write the equation in Standard Form.

Ellipse:

Vertices (-3, 7), (-3, 1)
Co-Vertices (-5, 4), (-1, 4)

The standard form of the equation  of the ellipse is  

Step-by-step explanation:

The standard form of the equation of an ellipse with center (h , k)  is

, where  

∵ The vertices of the ellipse are (-3 , 7), (-3 , 1)

∴ h = -3

∴ k + a = 7 ⇒ (1)

∴ k - a = 1 ⇒ (2)

- Add (1) and (2) to find k

∴ 2k = 8

- Divide both sides by 2

∴ k = 4

- Substitute the value of k in (1) or (2) to find a

∵ 4 + a = 7

- Subtract 4 from both sides

∴ a = 3

∵ The co-vertices of the ellipse are (-5 , 4), (-1 , 4)

∴ k = 4

∴ h - b = -5 ⇒ (1)

∴ h + b = -1 ⇒ (2)

∵ h = -3

- Substitute the value of h in (1) or (2) to find b

∴ -3 + b = -1

- Add 3 to both sides

∴ b = 2

∵ The standard form of the equation  of the ellipse is  

- Substitute the values of h, k, a, and b in the equation

∴  

∴  

The standard form of the equation  of the ellipse is  

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

3030 ur welcome

step-by-step explanation: