Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out
2 answers:
You might be interested in
<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)
- The equation of the ellipse
The equation of an ellipse is given by,
Given that the ellipse passes through the point (-3, 1)
Hence,
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,
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,
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y
Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42