How do you scale a diamond

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

6 0

Answer:

When writing the grades of a diamond using the AGS Scale, diamond Cut grade is first, then diamond Color, Clarity, then Carat Weight—in that order. If a diamondpossessing the finest diamond Cut grade is also colorless, free of inclusions and blemishes, and weighs one carat, it would be written as: 0/0/0–1.000 carat.

Step-by-step explanation:

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PLEASE HELP 46 POINTS Use composition of functions to determine whether or not f(x) and g(x) are inverses of each other. Show al

IRISSAK [1]

Remark

The reason you are not getting many replies to this is an uncertainty about f(x). We do not know if you mean f(x) = 2/(x - 6) or f(x) = (2/x) - 6. We'll try it both ways.

First Way f(x) = 2/(x - 6)

f(x = y = 2/(x - 6) Interchange x and y

x = 2 / (y - 6) Multiply both sides by y - 6

x(y - 6) = 2 Divide by x

y - 6 = 2/x Add 6 to both sides.

y = 2/x + 6 Which is close to g(x) but it is not the same thing, even if you use x as a common denominator. That would give you

$\dfrac{6x + 2}{x}$

Second Way: f(x) = (2/x) - 6

f(x) = y = (2/x) - 6 Interchange x and y

x = (2/y) - 6 Add 6 to both sides

x + 6 = 2/y Multiply both sides by y

y(x + 6) = 2 Divide by sides by (x + 6)

y = 2/(x + 6)

Comment

These do not look anything alike so g(x) and f(x) are not inverses.

3 0

3 years ago

Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .

Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:

$A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)$