Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
The amount of light passing through each foot the water in the lake = 100% - 60% = 40%
The percent of light passing through 5 feet of water = 0.4^5 = 0.01024 = 1.02%
Note this pattern: Mult. 24 by (-1/4) produces -6.
Mult -6 by (-1/4) produces 6/4 = 3/2
Mult. 3/2 by (-1/4) produces 3/8
Looks as though you copied the problem down incorrectly. You wrote 32 for 3/2 and -38 for -3/8.
The common ratio is -1/4.
12 6 1/4 pieces can be cut out.