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:
D. 5290 feet
Step-by-step explanation:
1 mile = 5280 feet
The closest number to 5280 is 5290.
5000, 5350, and 5500.89 are more further away from 5280 than 5290.
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h2>
Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?
<h2><u>Solution</u>:-</h2>
Let the given points be A(-1,7) and B(4,-3)
Now,
Let the point be P(x, y) which divides AB in the ratio 2:3
Here,
<h3>

</h3>
Where,
= 2 ,
= 3
= -1 ,
= 4
Putting values we get,
x = 
x = 
x = 
x = 1
Now,
Finding y
<h3>

</h3>
Where,
= 2 ,
= 3
= 7 ,
= -3
Putting values we get,
y = 
y = 
y = 
y = 3
Hence x = 1, y = 3
So, the required point is P(x, y)
= P(1, 3)
<h3>The coordinates of the point is P(1, 3). [Answer]</h3>
_______________________________________
<u>N</u><u>o</u><u>t</u><u>e</u>:- Refer the attachment.
_______________________________________
Answer:
The answer is <u>y=5</u>
Step-by-step explanation:
3y=15
you divide 3 into 3 and 15
3y/3=15/3
y=5
This means that (x-6)(x+2) = f(x) is the equation for the parabola due to that if you plug these in, when x=6 and x=-2 then y=0. Expanding it, we get
x^2+2x-6x-12=x^2-4x-12. Since the x coordinate of the vertex is -b/2a, it's 4/2=2