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 .
1. right 1, down 4 (down 4, right 1)
2. right 4, down 1 (down 1, right 4)
3. left 1, up 4
keep in mind that the x axis is the horizontal axis (the further right you go the larger the number) and that the y axis is the vertical axis (the further up you go the larger the number)! hope this helped you out!
Answer:
p = 11 q = 3
Step-by-step explanation:
2p - 3q = 13
- p - 3q = 2
p = 11
p - 3q = 2
(11) - 3q = 2
-3q = -9
q = 3
Prime numbers have more numbers to it when composite is almost like a whole number hope this helped
Quadratic formula where:
do both do get the roots of the equation
