<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>
<span>the probability the coach selects all girls is m</span>ost likely
Answer:
50 eggs would cost 16$
Step-by-step explanation:
A dozen eggs is 12. So for 4 dozen eggs, you get 48. 48 eggs is 15.36$. If you divide the 3.84 to 12, you will get the individual price for each egg. The individual price for each egg is .32 cents. You need to add 2 more eggs to the 4 dozen to get 50 eggs. You times .32 to 2 and you get .64. After that you add .64 to the price of the 4 dozen eggs and you will get 16$
Simple version:
dozen eggs =12, cost 3.84$
4 dozen eggs= 48, cost 15.36$
3.84$ divided by 12 = .32 cents (price of the individual egg)
Add two of the individual eggs together and add it to 15.36$
:)
Answer:
Yes, the total cost of Lacey lesson is a split function of hours scheduled
Step-by-step explanation:
The amount Lacey pays for each hour of golf = $15
The amount Lacey pays for equipment rental = $10
The amount Lacy pays for equipment rental for a 3 hours long lesson = $5
Therefore, we have
Let C represent the total cost of Lacey lesson and let t represent the number of hours, we have;
C = $10 + t × $15 for 0 ≤ t ≤ 3
C = $5 + t × $15 for t > 3
Therefore, the total cost of Lacey lesson is a split function of hours scheduled
X=205
y=41
You come across these answers by making an equation or system of equations based on the word problem given. 1. x+y=246 and 2. x÷y=5 . The you would multiply by y on both sides and get x=5y . Then you would substitute for x in the first equation and get (5y)+y=246 . Then you would get 6y=246 . Them you would divide by 6 on both sides and get y=246÷6 . Then you would get y=41. Then you would plug the y value into the first equation. You would get that x+(41)= 246, subtract on both sides and get x=246-41, then you would get an answer of x=205.
