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Over [174]
3 years ago
7

Can I get help on 1-8 please

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Answer:

1.) 1/2x

2.) 3a

3.) <10

4.) 8/p

5.) =0

6.) =0.25

7.) x-6=4.5

8.) y/8=3.2

Step-by-step explanation:

For #1 all you have to do is add them together. For #2 it is the same thing. For #3 all you need to do is use the less then (<) symbol with a 10 behind it. For #4 quotient means to divide so all you need to do is put a division symbol between the two factors. For #5 all you have to do is substitute 1.5 for the letter A and subtract them. For #6 all the do is substitute 2.25 for b because you convert the fraction to a decimal which is 25/100 which equals .25 then you divide the two numbers. For #7 the difference mean to subtract so you put x-6 instead of the difference between x and 6, then it equals 4.5 because you convert the fraction which would be 50/100 which equals .50. For #8 all you do is flip the word quotient the a division symbol because quotient means to divide.

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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>

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<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,

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Cross multiplying we get,

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Multiply by 4 on both sides,

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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,

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Subtracting equations 2 and 1,

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Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
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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>
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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