If triangle abc defined by the coordinates a(1, 1), b(9, 1), c(1, 9) is dilated by a scale factor of 1/2, with resulting vertex b' at (5, 1), what is the center of the dilation?
a) (0, 0)
b) (1, 1)
c) (-2, -2)
d) (-1, -1)

Which point on the x-axis lies on the line that passes through point c and is parallel to lino ab?

Arianna is buying plants for her garden. she buys 15 flowering plants for $96. pink flowering plants sell for $8, and purple flowering plants sell for $5. how many pink flowering plants did arianna buy? i figured out the answer! the answer is 7. 8x +5y = 96 plug in 7 for x 8 (7) + 5y = 96 56 + 5y = 96 subtract 56 from both sides 5y/y = 40/5 y = 8 she bought 7 pink and 8 purple plants

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.