Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:

where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.


To make the denominator same multiply 1st term by
and 2nd term by
.



Multiply by 36 on both sides


The equation of the image is
.
Answer:
x=2
Step-by-step explanation:
DE=4x+2, EF=3x, and DF=16
DE=4(2)+2, EF=3(2), and DF=16
DE=10, EF=6, and DF=16
When you estimate, you round the numbers up or down. In this case, I'll round 4,377 down to 4,000, because 8 divides nicely into that number. 4,000/8 = 500.
You could estimate it to be about 500.
Hope that helped you.
(You can round your own numbers if you would like, but remember that rounding should make it easier for you to solve!)
Assuming your first equation is y = 5x+9, the equations describe lines that are coincident.
_____
Multiplying the second equation by -1, it becomes y = 5x+9, the same as the first equation.