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gladu [14]
3 years ago
15

For the dilation, DO, K = (10, 0) → (5, 0), the scale factor is equal to...?

Mathematics
2 answers:
romanna [79]3 years ago
4 0
The scale factor would be 1/2
Katyanochek1 [597]3 years ago
4 0

Answer:

The scale factor is \frac{1}{2}.

Step-by-step explanation:

The given rule of dilation is

D_{O,K}=(10,0)\rightarrow (5, 0)

It means the  figure is dilated by scale factor K with center at origin.

If a figure dilated by scale factor K  center at origin, then the scale factor is

K=\frac{\text{x-coordinate of image}}{\text{x-coordinate of preimage}}

The x-coordinate of image is 5 and the x-coordinate of preimage is 10. So, the scale factor is

K=\frac{5}{10}

K=\frac{1}{2}

Therefore the scale factor is \frac{1}{2}.

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the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.
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The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation:  (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w         (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

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which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

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Let's check our answer.  26cm is 3cm more than 23cm.  26cm + 26cm + 23cm + 23cm gives us 98cm.  The length is 26cm and the width is 23cm.


7 0
3 years ago
I need help! if you answer wrong for points I will report you! but hurry this is timed!
anyanavicka [17]

Answer:

it would be 10

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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