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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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What is -17/5 as a decimal?
attashe74 [19]
-3.4 that is the answer
3 0
3 years ago
Read 2 more answers
Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to
katen-ka-za [31]

Answer:

- 0.7

Step-by-step explanation:

We are given the general quadratic formula, as " x = -b \frac{+}{-}  \sqrt{(b^2-4ac)} / 2a. " This can be represented by two separate formula's, which will come in handy when determining the positive and negative roots of the equation ( and here we need the negative root ):

1 ) x = - b+ ( \sqrt{b^2-4ac} ) / 2a,

2 ) x = - b- ( \sqrt{b^2-4ac} ) / 2a

We know that a = 1, b = - 5, and c = - 4 from the equation " 0 = x^2 - 5x - 4 " ( which can be rewritten in the form 0 = ax^2 + bx + c ). Therefore, simply plug in these values into the quadratic formula to receive two solutions:

x = 5 + ( \sqrt{( - 5 )^2 - 4( 1 )( - 4 )} ) / 2( 1 ),\\x = 5 + ( \sqrt{25 + 16} ) / 2,\\x = 5 + \sqrt{41} / 2,\\x = ( About ) 5.7- This is our positive solution

__________

x = 5 - ( \sqrt{( - 5 )^2 - 4( 1 )( - 4 )} ) / 2( 1 ),\\x = 5 - ( \sqrt{25 + 16} ) / 2,\\x = 5 - \sqrt{41} / 2,\\x = ( About ) - 0.7- And this is our negative solution

You can see that - 0.7 is the negative real number solution to Joline's quadratic equation!

4 0
3 years ago
Round 13.2 to a whole number
sertanlavr [38]

round to 13 since you round down.

so the answer is 13

3 0
3 years ago
Work out 50% of 23kg?
pentagon [3]

Answer:

11.5 kg

Step-by-step explanation:

Is  means equals and of means multiply

50% * 23 = W

Change to decimal form

.50 * 23 =W

11.5 = W


5 0
4 years ago
Read 2 more answers
What is the value can u show work
Basile [38]
You would put 8 where x is and -10 where y is and then you will do -10 to the second power, which you will get 100 and so you will get 104. The answer is 
D) 104
6 0
3 years ago
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