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faltersainse [42]
3 years ago
12

The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for

the relationship to remain the same?
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

3bd/c = b*d/c

this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

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Given points A(0,3) B(-1,4) C(2,-1). What is coordinate B’ if the figure is rotated counter-clockwise 90 degrees?
attashe74 [19]

Answer: The answer is (C) (4,1).


Step-by-step explanation:  Given points are A(0,3), B(-1,4) and C(2,-1). Obviously, these points will form a triangle. We need to find the co-ordinates of the point B', which is formed after rotating the figure counter-clockwise 90 degrees.

The point B(-1,4) lies in the second quadrant. After rotating 90 degrees counter-clockwise, the this point will lie in the first quadrant. So, both the x-coordinate and y-coordinate will be positive. Also, the two coordinates will exchange. Please see the attached figure.

Thus, the coordinates of point B' are (4,1).

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3 0
2 years ago
Please help.........................
Snezhnost [94]

Answer:

y = 114

Step-by-step explanation:

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