This problem can be solved in two ways, the long way, or the short way.
1. The long way
We know that the base of the triangle is along the x-axis, and the length of the base is 20.
The centre of mass is located at 2/3 of the distance from vertex (3,4) along the median, which cuts the base at (10,0).
Therefore the centre of mass is located at
x=3+(10-3)*2/3=23/3
y=4/3
2. The short way
It turns out that the centre of mass of a triangle sheet is located at the mean of the coordinates of the three vertices, i.e.
CG=((0+20+3)/3, (0+0+4)/3)=(23/3, 4/3) as before.
He was there for 3 hours cause 3 x 35 = 105 but 105 + 55 = 160
Answer:
2x² - 14x + 24
Step-by-step explanation:
Use the FOIL method (First, Outside, Inside, Last).
First, multiply the first term of both parenthesis:
2x * x = 2x²
Next, multiply the outside terms of both parenthesis:
2x * -4 = -8x
Then, multiply the inside terms of both parenthesis:
-6 * x = -6x
Finally, multiply the last terms of both parenthesis:
-6 * -4 = 24
Combine like terms:
2x² - 8x - 6x + 24
2x² (-8x - 6x) + 24
2x² (-14x) + 24
2x² - 14x + 24 is your answer.
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Answer:
-5y + 8x
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the other line is also 1/6
