Write the Given Equation in the Form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$

question 279

Multiple Choice

Write the given equation in the form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$ . Identify the center and radius.
- $$x ^ { 2 } + y ^ { 2 } + 16 x + 8 y - 20 = 0$$

• A) \(( x + 16 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 20\)
• Center: \(( 16,8 ) ; r = 20\)
• B) \(( x + 16 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 20\)
• Center: \(( - 16 , - 8 ) ; r = 20\)
• C) \(( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100\)
• Center: \(( - 8 , - 4 ) ; r = 10\)
• D) \(( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100\)
• Center: \(( 8,4 ) ; r = 10\)

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Definitions:

Lateral Ventricles

Cavities in the brain that produce and circulate cerebrospinal fluid, playing a crucial role in cushioning and supporting the brain.

Corpus Callosum

A wide band of neural fibers beneath the cortex in the brain, connecting the left and right hemispheres, facilitating interhemispheric communication.

Transverse Band

A band or fiber that crosses from one side of an anatomical structure to the other, providing support or stability.

White Matter

Brain and spinal cord tissue composed primarily of myelinated nerve fibers, which transmit signals throughout the nervous system.