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Volgvan
3 years ago
7

When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation w

as a dilation. Generate instructions you would give another student to determine the scale factor.
Mathematics
2 answers:
musickatia [10]3 years ago
8 0
Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').

The dilation is therefore:
(x,y) ............> (x',y')

Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky

Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.

Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.

Hope this helps :)
jarptica [38.1K]3 years ago
6 0

Sample Response: Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.

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The image shows the energy that can be generated from the Earth's water and the pull of the Moon's gravity.
tester [92]

Answer:

It is tidal energy, which is a renewable resource

Step-by-step explanation:

Tidal energy is is the energy produced when interaction of earth water masses and Moon's gravitational pull takes place. when moon's gravitational pull occurs on ocean water, currents and motion is produced in ocean water which leads to rise in water. when earth rotates this rise in water meets the shallow region of water near the shore and hence tide is created. This motion of  rise and fall of water stores energy which is called tidal energy.

Renewal source is one which does not gets depleted and is replenished by nature. It's quantity will not get reduced with consumption.

example is sunlight : sunlight is renewable energy as everyday day this energy is produced . no matter how much it is consumed on earth for a day. Next day it will be again produced by earth.

Since, tides are regularly occurring phenomenon hence they are source of renewable tidal energy produced by them

7 0
3 years ago
Can you lose a rank if you dont answer questions for a while?
Ronch [10]
No youll lose it if you answer too many
7 0
3 years ago
Read 2 more answers
The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
zheka24 [161]

Answer:

a=7.85-1/2^b

Step-by-step explanation:

2a=15.7-b Move variable to the right side and change its sign

2a=15.7-b Divide both sides of the equation by 2

a=7.85-1/2^b The final solution for a is


4 0
3 years ago
Determine the inverse of the function. (show work please)
uysha [10]

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

5 0
3 years ago
80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.
gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)

7 0
3 years ago
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