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butalik [34]
2 years ago
13

Please help, thanks I’m advance!

Mathematics
1 answer:
netineya [11]2 years ago
3 0

Answer:

A

Step-by-step explanation:

(x+2)©= x©+4x+4

Hsbsbjsjisoajja

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Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
UPS charges $8 flat fee and $0.20 for each pound. FedEx charges $3 flat fee and
Natasha_Volkova [10]

Answer:

50 lbs

Step-by-step explanation:

UPS: 8 + .20p

FedEx: 3 + .30p

8 + .20p = 3 + .30p

8  = 3 + .10p

5  =  .10p

p = 50

4 0
3 years ago
Please help with this, thank you!​
dezoksy [38]

Step-by-step explanation:

\sqrt{1.8 \times  \sin(46 ) \div 7.8 {}^{2}  }  - 50.8 \\  \sqrt{1.8}  \times 0.72  \div 60.84 - 50.8 \\   \sqrt{1.29 \div 10.04 }  \\  \sqrt{0.128 }  \\ 0.358

8 0
3 years ago
Lisa has 100 dollars in A savings account. The interest rate is 5% per year and is not compounded. How much interest will she ea
den301095 [7]
20 dollars, she will earn this because five percent of one hundred is five, times five by four and you get your answer of twenty!
7 0
3 years ago
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Quadrilateral A and B are scaled copies of each other. Quadrilateral A has side lengths of 2, 3, 5, and 6. Quadrilateral B's lon
harkovskaia [24]

Answer:

Quadrilateral A has side lengths 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8, and 10. Could one of the quadrilaterals be a scaled copy of the other ...

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2 years ago
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