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4 years ago

Which transformations of RST will result in the same image? Check all that apply.

Mathematics

1 answer:

Lelechka [254]4 years ago

8 0

Answer:

I think sentences 1 and 2

Step-by-step explanation:

If triangle translated 2 units left, (x,y)-----(x-2,y)

and then reflected over the y-axis, (x-2,y)-----(-x+2,y)

The relation between image and pilgrimage is (x,y)-----(-x+2,y)

The vertices of image are S(-4,4),T(-1,4), R(-1,1)-----S'(6,4),T'(3,4), R'(3,1)

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as (x,y)-----(-x+2,y)

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as (x,y)-----(-x+2,y)

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as (x,y)-----(-x-2,y)

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as (x,y)-----(-x-2,y)

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as (x,y)-----(x+2,-y)

It is not equivalent to relation 1, therefore option 5 is incorrect.]

6. A reflection over the x-axis and then a translation 2 units left is defined as (x,y)-----(x+2,-y)

It is not equivalent to relation 1, therefore option 6 is incorrect.

So for that reason im pretty sure the correct options are 1 and 2.

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64, –48, 36, –27, ...

daser333 [38]

Answer:

f(x + 1) = -(3/4)*f(x)

(second option)

Step-by-step explanation:

Here we have the sequence:

64, -48, 36, -27, ...

First, we can notice two things:

Each term has a different sign than the previous term, so the relation is something like:

f(x + 1) = -k*f(x)

Now to find the value of k, we can just replace some of the values (for example, the first and the second one)

-48 = -k*64

48/64 = k

3/4 = k

Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:

36 = -k*(-48)

36 = k*48

36/48 = k

3/4 = k

We got the same value, so we can conclude that k = (3/4)

Then the relation that describes this sequence is:

f(x + 1) = -(3/4)*f(x)

5 0

3 years ago

Read 2 more answers

1 1/3 divided by 40 by using the algorithm method

Mariulka [41]

Problem

1 1/3 divided by 40 by using the algorithm method

Solution

For this case we can do this first:

$1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}$

And then we can divide this number by 40 like this:

$\frac{4}{3}\cdot\frac{1}{40}=\frac{4}{120}=\frac{2}{60}=\frac{1}{30}$

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1 year ago

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Grace [21]

Answer and workings are in the attachments below.

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3 years ago

If f(x)=-3x+2, find<br> -<br> f(-1)

Y_Kistochka [10]

Answer:

The answer is 5

Step-by-step explanation:

f(-1) = -3(-1) + 2

f(-1) = 3 + 2

f(-1) = 5

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Answer:

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Step-by-step explanation:

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3 years ago