Since the coefficients of d are not equal, then there can only be one solution
Answer:
Step-by-step explanation:
<u>Geometric mean of 2√3 and 3√3 is:</u>
- √(2√3 * 3√3) =
- √(6*3) =
- √(2*9) =
- 3√2
Finding the coordinates of the vertex is straightforward here, since we're given a good, clear diagram.
The vertex, in this case, is the lowest point of this graph. By counting from y-axis leftward, we see that the x-coordinate of the vertex is -4; by counting up to the y-axis, we see that the y-coordinate of the vertex is -4.
Thus, the vertex is located at (-4,-4).
The formula for volume is
... V = Bh . . . . . where B is the area of the base, and h is the height
You have
... 18/35 = 2/5·h
... 18/35·5/2 = h = 9/7
The height is 9/7 units.
VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK
Since VK = x and VY = 22, this means...
VK = VY+YK
x = 22+YK
x-22 = YK
YK = x-22
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Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.
In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle
Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47
Answer: 47