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Alex
2 years ago
14

What is the standard form of the ellipse equation

Mathematics
1 answer:
vlabodo [156]2 years ago
4 0

Answer: <em>The correct answer is in the first option.</em>

Step-by-step explanation:

Equation of an Ellipse

\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2}  - 150x + 9y^{2}  = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }

\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1

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5.5(x+6 1/2)-(x+9 1/3)-(19-x)
anastassius [24]

The simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12

<h3>What is the simplified form of the expression</h3>

Given the expression;

5.5(x+6 1/2) - (x+9 1/3) - (19-x)

First, we convert 6 1/2, 9 1/3 and 5.5 to an improper fraction

6 1/2 = 13/2, 9 1/3 = 28/3 and 5.5 = 11/2

So, we have

(11/2)( x + 13/2 ) - ( x + 28/3 ) - ( 19 - x )

Next, we remove the parentheses

11x/2 + 143/4 - x - 28/3 - 19 + x

11x/2 + 143/4 - 28/3 - 19

11x/2 + 317/12 - 19

11x/2 + 89/12

Therefore, the simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12.

Learn more about fractions here: brainly.com/question/28039882

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3 0
1 year ago
98 PTS!<br> Can someone please help?
padilas [110]

Answer: -22


Step-by-step explanation:

In the first question, we can simplify 2√8 to 4√2, making it :

(√10 + 4√2)(√10 - 4√2)

When you FOIL, √10(√10) = 10, and 4√2 * -4√2 = -32. The others cancel each other out. So -32 + 10 = -22.



5 0
3 years ago
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Is ∞ the same as +∞?
dezoksy [38]

Answer:

infinity and positive infinity are the same

6 0
3 years ago
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If x is directly proportional to to y and x= 200 and y=3 find x when y=5​
Amiraneli [1.4K]

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

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2 years ago
HELP!!in slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?
Lorico [155]

Answer:

y = -x - 1

Step-by-step explanation:

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3 years ago
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