## Under a dilation, a figure is enlarged and its orientation is preserved. Choose the statement that best describes the dilation. A. The image is along the same ray as the preimage but is farther from the center of dilation. B. The image is along the opposite ray from the preimage but is farther from the center of dilation. C. The image is along the same ray as the preimage but is closer to the center of dilation. D. The image is along the opposite ray from the preimage but is closer to the center of dilation.

January 27, 2020// Blog//

M x = 1/2 p ∫ ( f ( x )² – g ( x )² ) d x

f ( x ) = √( 1 – x²), g ( x ) = – 2

= – 50/3

My = p ∫ x * ( f ( x ) ) dx

My = p ∫ x ( √(1+x²)) dx

Substitution: 1 – x² = u, x dx = – du/2

**M x = – 50/3, M y = 0**M ≈ 5 * 6.3 ≈ 31.2

x = M y / M = 0 / 31.5 = 0

y = M x / M = -50/3 : 31.5 ≈ – 0.529

The center of mass is

** ( 0, -0.529 )**