Someone please help me with this
1 answer:
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Answer:
Step-by-step explanation:
2.5x+8y=200
We want to get this in slope intercept form so we will solve for y
Subtract 2.5x from each side
2.5x-2.5x+8y=-2.5x +200
8y = -2.5x +200
Now divide by 8 on both sides
8y/8 = -2.5x/8 + 200/8
y = -.3125x +25
The y intercept is 25, so plot a point there
-.3125 = -5/16
Go down 5 and to the right 16 and plot a point. Connect the two points to make a line.
Given the line 12x + 9y = 36
the line intersects the x-axis when y = 0,
i.e. 12x = 36 ⇒ x = 3
Thus the x-intecept is (3, 0)
the line intersects the y-axis when x = 0,
i.e. 9y = 36 ⇒ y = 4
Thus, the y-intercept is (0, 4)
Thus, the coordinates of the vertices of the triangle are (0, 0), (0, 4) and (3, 0)
The midpoint of the side of the rectangle joining points (0, 0) and (0, 4) is (0, 2) and the equation of the median joining points (0, 2) and (3, 0) is given by
The midpoint of the side of the rectangle joining points (0, 0) and (3, 0) is (1.5, 0) and the equation of the median joining points (1.5, 0) and (0, 4) is given by
The point of intersetion of the two medians is given by
Therefore, the centroid of the given triangle is located at point
the line intersects the x-axis when y = 0,
i.e. 12x = 36 ⇒ x = 3
Thus the x-intecept is (3, 0)
the line intersects the y-axis when x = 0,
i.e. 9y = 36 ⇒ y = 4
Thus, the y-intercept is (0, 4)
Thus, the coordinates of the vertices of the triangle are (0, 0), (0, 4) and (3, 0)
The midpoint of the side of the rectangle joining points (0, 0) and (0, 4) is (0, 2) and the equation of the median joining points (0, 2) and (3, 0) is given by
The midpoint of the side of the rectangle joining points (0, 0) and (3, 0) is (1.5, 0) and the equation of the median joining points (1.5, 0) and (0, 4) is given by
The point of intersetion of the two medians is given by
Therefore, the centroid of the given triangle is located at point