Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.
R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)
So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.
Answer: 364.7 pounds
Step-by-step explanation: Multiply the number of kilograms, 165, by the number of pounds per kilogram, 2.21.
165 x 2.21 = 364.65
Round to the nearest tenth.
364.7 pounds in 165 kilograms.
As an expression, it would be:
3 - 1/13w (or you could also do 1/13w - 3).
Hailey's mixing two different coffee blends. Represent them by x and y (in pounds). Then x + y = 5 lb, and x = 5 - y.How much puree Sum. beans are we talking about here?
0.20x +0.80y = 0.60(5 lb) Mult all 3 terms by 100 to get rid of factions:
20x + 80 y = 300. Substitute 5-y for x:
20(5-y) + 80y = 300 => 100-20y + 80y = 300 => 60y = 200, so y = 20/6 or 10/3 lb den x = 5-10/3, or x =5/3 lb
Use 5/3 lb of the first blend and 10/3 lb of the second blend to come up with 5 lb of a 60% blend.
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