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Relationships between equations and graphs Videos 1 videos
ACT Math: Coordinate Geometry Drill 2, Problem 5. What is the origin of the circle?
ACT Math 2.5 Coordinate Geometry 231 Views
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ACT Math: Coordinate Geometry Drill 2, Problem 5. What is the origin of the circle?
- Coordinate Geometry / Relationships between equations and graphs
- Coordinate Geometry / Graphs of points, lines, polynomials, and circles
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Functions / Interpret expressions for functions in terms of the situation they model
- Geometry / Translate between the geometric description and equation for a conic section
- Properties, Measurement, and Dimension / Translate between the geometric description and the equation for a conic section
- Coordinate Geometry / Conics
Transcript
- 00:02
For a good time, solve this shmoopy question.
- 00:05
A circle has the equation (x - 3)2 + (y + 7)2 = 49. What is it's origin?
- 00:13
And here are your potential answers...
- 00:17
Okay, so this is just testing to see if we know the standard formula for a circle.
- 00:21
The formula of a circle is the quantity x minus h squared plus the quantity y minus
Full Transcript
- 00:26
k squared equals r squared, where (h, k) is the origin. Ok... so we want to find h and k...
- 00:32
And it looks like h is 3... and k is negative 7...Why?
- 00:37
Because two negatives make a positive 7 in the equation.
- 00:40
Our origin is (3, -7). Looks like our answer is C.
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