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Zepler [3.9K]
2 years ago
11

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of

the figure.

Mathematics
1 answer:
wolverine [178]2 years ago
5 0

Answer:

72z+176

Step-by-step explanation:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

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A video game displays 132 frames in 6 seconds on Penelope's computer. What is the rate in frames per second?
juin [17]

Answer:

unit\ rate=22\ frames\ per\ second

Step-by-step explanation:

we know that

To find the unit rate , divide the total frames by the total seconds

Let

x ----> the total frames displayed by the video game

y ----> the total seconds

unit\ rate=\frac{x}{y}

we have

x=132\ frames\\y=6\ seconds

substitute the values

unit\ rate=\frac{132}{6}=22\ frames\ per\ second

8 0
3 years ago
Pls someone help me figure out how to do this!
Dafna11 [192]

Answer:

  g(x) = -3/5|x -6| +4

Step-by-step explanation:

Given the graph of an absolute value function, you want the equation for it.

<h3>Transformations</h3>

The desired form is ...

  g(x) = a|x -h| +k

The parameters a, h, k represent different features of the transformation of the graph of the parent function f(x) = |x|.

<h3>Vertical scale factor</h3>

The parameter 'a' is the vertical scale factor. There are two features of this graph that tell you what the value is.

  • the slope of the lines
  • the direction of opening

The line on the left side of the vertex seems to intersect points (1, 1) and (6, 4). The slope of this line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -1)/(6 -1) = 3/5

The graph opens downward, meaning that the parent absolute value function has been reflected across the x-axis. In other words, the sign of 'a' is negative. Its magnitude is the slope we just found, so ...

  • a = -3/5

<h3>Translation</h3>

When a function is translated h units horizontally and k units upward, the transformed function becomes ...

  g(x) = f(x -h) +k

We notice the vertex of the graph has moved from (0, 0) to (6, 4), so we have ...

  • h = 6
  • k = 4

<h3>Equation</h3>

Now that we know the values of the parameters in the equation, we can write it as ...

  g(x)=a|x-h|+k\\\\\boxed{g(x)=-\dfrac{3}{5}|x-6|+4}

__

<em>Additional comment</em>

Finding the vertical scale factor will work differently for different kinds of functions. In general, you want to find some vertical feature of the original function that you can recognize in the transformed function.

Here, that "feature" is the fact that an absolute value function has a rise of 1 for each run of 1 (a slope of 1) to the right of the vertex. This graph has a "rise" of -3 for a run of 5 to the right of the vertex. Effectively, the graph of the original absolute value function has been scaled by a factor of -3/5.

6 0
10 months ago
I need help with this problem
alexandr402 [8]

Answer:

4*x^4*y^22

Step-by-step explanation:

Your goal here is to REDUCE the given expression to simplest terms.

One way in which to approach this problem would be to rewrite (2x^2y^10)^3 as:  (2x^2*y^8)*y^2*(2x^2*y^10)^2.

Dividing this rewritten expression by 2x^2*y^8 results in:

y^2(2x^2*y^10)^2.

We now need to raise (2x^2*y^10) to the power 2.  Doing this, we get:

4x^4*y^20.

Multiply this by y^2 (see above):

y^2*4x^4*y^20

The first factor is 4:  4y^2*x^4*y^20.  This is followed by the product of y^2 and y^20:                   4*y^22*x^4

Finally, this should be re-written as

                                    4*x^4*y^22

Another way of doing this problem would involve expanding the numerator fully and then cancelling out like factors:

8*x^6*y^30      4*x^4*y^22

----------------- = ------------------ = 4*x^4*y^22

  2x^2y^8                  1

7 0
2 years ago
Nine is 4 percent of what number
Katarina [22]

Answer:

225

Step-by-step explanation:

We can model this question with:

9 = 0.04x

x represents "what number."

0.04x = 9.

Divide 0.04 from both sides

0.04x ÷ 0.04 = 9 ÷ 0.04

9 ÷ 0.04 = 225.

Therefore, 9 is 4% of 225.

5 0
3 years ago
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Which of the following statements is true?
Margaret [11]

Answer:

c

Step-by-step explanation:

it's more a gut feeling

5 0
3 years ago
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