Help Help Help!!! :) solve the system of equations y=2x^2-3 y=3x-1
1 answer:
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Answer:
Correct options:
(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
Step-by-step explanation:
If the circle has a center at (8,9), the equation for this circle is:
All concentric circles have the same center, so their equations need to have the same left side of the equation above.
-> x2 + y2 = 25
This circle has a center at (0,0), so it's not concentric to our circle.
-> (x – 8)² + (y – 9)² = 3
This circle has a center at (8,9), so it's concentric to our circle.
-> (x – 8)² + (y – 9)² = 14
This circle has a center at (8,9), so it's concentric to our circle.
-> (x – 8)² + (y + 9)² = 3
This circle has a center at (8,-9), so it's not concentric to our circle.
-> (x + 8)² + (y + 9)² = 25
This circle has a center at (-8,-9), so it's not concentric to our circle.
-> (x + 9)² + (y + 8)² = 3
This circle has a center at (-8,-9), so it's not concentric to our circle.
Correct options:
(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
Equation of an ellipse
→having center (0,0) , vertex ( and covertex
and focus
is given by:
As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.
Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:
Distance from (a,0) to (c,0) is = a-c =
Distance from (-a,0) to (c,0) is = a + c =
a -c + a +c
= a + a
= 2 a →(Option A )
