Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph
the triangle.
1 answer:
The triangle is illustrated below.
<h3>How to explain the triangle?</h3>The first thing you should find are the new vertices:
(x, y) ---> (2x, 2y) ---> (x', y')
(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)
(-4, 4) ---> (2 (-4), 2 (4)) ---> (-8, 8)
(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)
Then, you must join the ordered pairs and graph the new triangle.
See the attached graph.
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Answer:
The least common denominator of the expression is 72g.
Step-by-step explanation:
First, let us write the expression out mathematically
The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Multiples of 24 = 24, 48, 72, 96, ...
The least common multiple of 9 and 24 is 72.
Then, the least common multiple of 72 and g is 72g
Hence, the least common denominator of the expression is 72g.