Applying the centroid theorem, the value of x in the given triangle in the figure is: B. 4
<h3>What is the Centroid Theorem?</h3>
The point where the three median of a triangle meet is the centroid. According to the centroid theorem, the centroid is 2/3 of the distance from each midpoint of the opposite sides to each vertex of the triangle.
Based on the centroid theorem, we have:
FY = 2/3(FS)
Substitute
x = 2/3(x + 2x - 6)
x = 2/3(3x - 6)
3x = 2(3x - 6)
3x = 6x - 12
3x - 6x = -12
-3x = -12
x = -12/-3
x = 4 (option B)
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Let the width be w, length = 3w and height = 2w
Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7
width = 7 cm
Answer:
1) x = 0, x = 1
2) x = -0.387 , x = 1.721
Step-by-step explanation:
3x² - 3x + 2 = 2
To convert this into the given graph, subtract 3 from both sides, you get
3x² - 3x - 1 = -1
You can find the x values for y = -1 to solve the given equation.
At y = -1, x = 0, 1
3x² - 3x - 1 = x + 1
To solve for this, add a straight line y = x + 1 on the same graph and look for the point of intersections
You'll see the line and the graph meet at two points:
x = -0.387 and x = 1.721
Slope of perpendicular is -1/3.
Then equation is
y-5=(-1/3)(x+9)
