All categories

3 years ago

Which describes the sequence of transformations used to obtain the image (triangle A’) from the pre-image (triangle A)?

Mathematics

2 answers:

AlexFokin [52]3 years ago

8 0

Answer:

C : dilation by a scale factor of 1/2, then a rotation of 180° about the origin

Step-by-step explanation:

Hitman42 [59]3 years ago

7 0

I don’t know and i understand that the other one didn’t do it but did you already try searching it?

You might be interested in

Write the fraction as a decimal. 16/5

Sedbober [7]

Answer:

3.2

Step-by-step explanation:

6 0

2 years ago

Solve the literal equation a+4b=5b-3a solve for a

ahrayia [7]

A= 0.25 or 1/4
Hope this helps:)

4 0

3 years ago

Plssssssssssssssssssssssssssssssssssssssssssssss

eduard

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

3 0

2 years ago

For an outdoor concert by the city orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not rai

My name is Ann [436]

<h2>Answer:</h2><h2>The expected number of people who will attend this concert = 2260</h2>

Step-by-step explanation:

The concert organizers estimate people will attend if it is not raining = 19000

If its raining people will attend = 4000

On the day of the concert, meteorologists predict a 90% chance of rain.

This means 10 % chance of not raining

The expected number of people = 90% (4000) + 10% (19000)

= 360 + 1900

= 2260

The expected number of people who will attend this concert = 2260

4 0

3 years ago

Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

5 0

2 years ago