When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
Answer:
No
Step-by-step explanation:
If (x - 9) is a factor then x = 9 is a root and f(9) = 0
f(x) = 4x³ - 28x² - 36x - 27, hence
f(9) = 4(9)³ - 28(9)² - 36(9) - 27
= 2916 - 2268 - 324 - 27 = 297
Since f(9) ≠ 0 then (x - 9) is not a factor of f(x)
Answer:
C and D have the same volume
Step-by-step explanation:
For figures such as B, C, and D, with the top area is the same as the bottom area, the volume is the product of the base area and the height. The base area of all these figures is the same, so those (among B, C, and D) with the same height have the same volume.
C and D both have a base area of 20 cm^2 and a height of 5 cm, so both have the same volume.
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For figures such as A and E, with a top area of zero, the volume is 1/3 the product of base area and height. If the heights of A and E were the same, they would have the same volume. The heights are different, so they don't.
None of the figures with non-zero top area have 1/3 the height of either A or E, so none are equal in volume to either of these.
Answer:
21. 4
Step-by-step explanation:
2*3=6
4*6=24
24/6=4
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