Find an Equation for the Circle $\sqrt { 15 }$ A) $( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 15$

question 48

Short Answer

Find an equation for the circle.
-Center at (3,-4) , radius $\sqrt { 15 }$
A) $( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 15$
B) $( x + 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 225$
C) $( x - 4 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 225$
D) $( x - 3 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 15$

• A) \(( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 15\)
• B) \(( x + 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 225\)
• C) \(( x - 4 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 225\)
• D) \(( x - 3 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 15\)

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Definitions:

Random Samples

A sample drawn from a population in such a way that every member of the population has an equal chance of being included.

Level of Significance

The threshold for rejecting the null hypothesis in a statistical test, often set at a value like 0.05 or 0.01.

F Table

A table used in statistics for finding critical values of the F-distribution, important in analysis of variance (ANOVA) testing.

Population Variances

A measure of the dispersion or spread of values within a population, indicating how much the data points differ from the population mean.