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Burka [1]
2 years ago
10

PLZ HELPPPPP QUICKLYYYY!!!!!!!!!!!!!

Mathematics
1 answer:
Luda [366]2 years ago
7 0

Answer:

root 490

Step-by-step explanation:

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
3 years ago
Solve. Show all steps. <br> 1/8 x = 1/2
Law Incorporation [45]

Answer:

\frac{1}{8} x =  \frac{1}{2}  \\ x =  \frac{8}{2}  \\  \boxed{x = 4}

<h3><u>x=4</u> is the right answer.</h3>
3 0
2 years ago
Read 2 more answers
A rocket gets launched straight up into space. What is a possible description
Flauer [41]

Answer:

sorry in a hurry

Step-by-step explanation:

A rocket gets launched straight up into space. What is a possible description

of the rate of change (slope)?

6 0
3 years ago
Maria has an annual income of
Temka [501]

Answer:

17,810.58

Step-by-step explanation:

A = $ 17,810.58

A = P + I where

P (principal) = $ 10,000.00

I (interest) = $ 7,810.58

3 0
3 years ago
Read 2 more answers
Please help me out on this question
Mariulka [41]

At x=2, y=4

At x=4, y=16

So the total change in y from x=2 to x=4 is 16-4=12

And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6

Hope that helps. Let me know if you have any questions.

7 0
3 years ago
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