<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,

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>
first you do 8×12=92 then you do 92+2=94 94×12=1,128 so you save1,128 if I'm not wrong
Righ, so negative times positive=negative
negative+positive=positive
thereofr
positive>negative
factor -84 where the negative is smaller ex -12 and 13, not -14 and 10 so
-2 and 42 nope
fast forward
-6 and 14 yes
-6+14=8
so the numbers are -6 and 14
Answer:
1. = station A
because 15 gallons = 0.75 discount at B but station A has a 1.50 discount at 15 gallons
Step-by-step explanation:
2. for satation B you have to read the graph
but for station A it is unclear on the graph
a way to work it out is that you know that 10= 1.00 so 12 = 1.2
( divide 12 by 10 )
station B = discount for 12 gallons = 0.6
but Station A = discount for 12 gallons = 1.2
the difference is
1.2 - 0.6 = 0.6 discount
Answer:
A straight line from 5,3 to1,6