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krek1111 [17]
3 years ago
7

when table sugar is burned in air, carbon dioxide and water vapor are products, as shown by the following unbalaned chemical equ

ation: C12H22O11(s)+O2(g) =CO2(g)+H2O(g)
Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0
<span>C12H22O11(s)+12O2(g) =12CO2(g)+11H2O(g)</span>
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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
What is the equation of the following line written in general form? (The y-intercept is -1.)
Strike441 [17]
2x-y-1=0

There are 2 ways that you can solve this . Either plug in the x and y value into each equation until it is right or rewrite the equation .
the equation in slope intercept form is y=2x-1
When you get y by itself in the last one it is also equal to y=2x-1
For both ways work is attached !

5 0
2 years ago
4. Find the time duration for the following in your notebook: (a) 1:20 a.m. to 8.05 a.m. (b) 3:50 p.m. to 6:25 p.m. (C) 11.40 a.
padilas [110]

(a) 6 hours and 45 minutes

(b) 2 hours and 35 minutes

(c) 2 hours and 40 minutes

(d) 3 hours and 20 minutes

4 0
3 years ago
What is the value of a(b - c) when b = 3, c = -3 and a = -2?​
musickatia [10]

Answer:

-12

Step-by-step explanation:

a(b - c)

b = 3, c = -3 and a = -2

-2( 3- -3)

-2(3+3)

-2(6)

-12

4 0
3 years ago
Read 2 more answers
The maximum capacity of the school auditorium is 420 people. Write an inequality for the situation. Tell what type of numbers th
posledela
The number of people in the auditorium can be less than or equal to 420 so let p represent the number of people
The inequality is p≤420
4 0
3 years ago
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