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3 years ago

If you rotate a right triangle, what feature of the triangle changes?

2 answers:

8 0

Answer
No feature changes.

Explanation
There is no feature of the right triangle that changes. Rotation only changes the position of the triangle.
The angles remains the same and the lengths remains.

Lelu [443]3 years ago

6 0

Answer:

position of the triangle

Step-by-step explanation:

The answer is Position of a triangle because if you rotate a right triangle it will still have the same sides, same shape, same everything except position.

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elixir [45]

Answer:

Step-by-step explanation:

8 0

3 years ago

Two girls and two boys went to the festival. The total cost of their tickets was $20. Each child paid the same amount for a tick

sattari [20]

Answer: $5

Step-by-step explanation: 4 children divided by 20 equals 5

6 0

2 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

What is the fourth term of this sequence? (explanations appreciated!)

xxTIMURxx [149]

Answer:

Forth term of the sequence is 61

Step-by-step explanation:

Let's just go from a1 to a4:

a1 = 5

a2 = 2x5+3 = 13

a3 = 2x13+3 = 29

a4 = 2x29+3 = 61

7 0

3 years ago

What is true about the slope of the function below y = 4x + 3

Karo-lina-s [1.5K]

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$\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}}$

Which is true about the slope of the function y=4x+3?

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

The slope of the function y=4x+3 is 4; in equations like this one, the slope is simply the number before x.

The rise is 4, and the run is 1.

Remember, slope is also defined as "Rise/Run"

[Note:- You haven't listed any options here, could you kindly add them in the comments?]

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4 0

2 years ago