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3 years ago

What set of reflections would carry trapezoid ABCD onto itself?

Mathematics

1 answer:

mestny [16]3 years ago

5 0

2.

Explain y axis 4/5

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The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

$g(x) = n * \sqrt[3]x$

$g(x)=-2\sqrt[3]x$

or:

$g(x) = -2f(x)$

4 0

3 years ago

Describe the relationship between base 4 and exponent 3

Sergio [31]

Is there any options?

4 0

3 years ago

For what values (cases) of the variables the expression does not exist: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4y%2B

stealth61 [152]

Answer:

y = - $\frac{1}{2}$

Step-by-step explanation:

Given

$\frac{3}{4y+2}$

The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is

4y + 2 = 0 ( subtract 2 from both sides )

4y = - 2 ( divide both sides by 4 )

y = $\frac{-2}{4}$ = - $\frac{1}{2}$ ← excluded value

6 0

3 years ago

What is the volume of the rectangular prism?

Mashcka [7]

Answer:

96 cubic inches

Step-by-step explanation:

8x3=24=area x4 = 96 = volume

5 0

3 years ago

Which is greater, 73 percent of 87, or 87 percent of 73?

Drupady [299]

87% of 73 is about 63.51 and 73% of 87 is 60.59 so 87% of 73 is greater

4 0

3 years ago

Read 2 more answers