Answer:
The answer to your question is 
Step-by-step explanation:
Data
Foci (-2, 2) (4, 2)
Major axis = 10
Process
1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.
From the graph we conclude that it is a horizontal ellipse.
2.- Determine the foci axis (distance between the foci)
2c = 6
c = 6/2
c = 3
3.- Determine a
2a = 10
a = 10/2
a = 5
4.- Determine b using the Pythagorean theorem
a² = b² + c²
-Solve for b
b² = a² - c²
b² = 5² - 3²
b² = 25 - 9
b² = 16
b = 4
5.- Find the center (1, 2) From the graph, it is in the middle of the foci
6.- Find the equation of the ellipse
4x-1 = 3x+3 ——> 4x=3x+4 ——> 1x= 4——> x=4 then plug it in to test and both get 15
Answer:
The dilation is an enlargement.
Step-by-step explanation:
It is correct!
The first one is 4
The second one is 2.449489743 or 2.45
Answer:
(4x -14)/3
Step-by-step explanation:
Assuming you intend mixed number coefficients, only the coefficients of x can be combined.
(-2 1/4)x +(3 7/12)x -(4 2/3) = x(-2 1/4 +3 7/12) -(4 2/3)
The mixed numbers are added in the usual way.
(-2 1/4) +(3 7/12) = (-2 +3) +(-1/4 +7/12) = 1 +(-3/12 +7/12) = 1 4/12 = 1 1/3
So the expression simplifies to ...
(1 1/3)x -(4 2/3)
This might be better written as ...
(4x -14)/3
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<em>Comment on mixed numbers</em>
It is hard to write mixed numbers so they can be properly interpreted in an algebraic expression. In general, they are better written as improper fractions or as decimal numbers (if the decimal terminates).
