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Fittoniya [83]
3 years ago
13

Which algebraic representation shows a reduction?

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

D. (x, y) →(\frac{1}{2}x,\frac{1}{2}y)

Step-by-step explanation:

A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.

When the dilation produces a smaller image is called a reduction.

Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.

Out of the options, the only one that has a scale factor less than one is:

(x, y) →(\frac{1}{2}x,\frac{1}{2}y)

Since the scale factor is 1/2 which is less than 1.

All other options are not reductions.

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Fill in the missing value in each equation:<br>a)0.25+_____=0<br>b)-5×_____=-5<br>c)_____×-6=0
Mashutka [201]

Answer:

a) -0.25

b) 1

c)0

Step-by-step explanation:

a) 0.25 + (-0.25)=0

b) -5*1=-5

c) 0*(-6)=0

8 0
2 years ago
6x + 15xy<br> Looking For Factor
padilas [110]

Answer:

x(6 + 15y)

Step-by-step explanation:

In this instance, you can divide by a factor of x.

6x/x = 6

15xy/x = 15y

Therefore, we are left with 6 + 15y.

6 0
3 years ago
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27.
padilas [110]

Answer:

78

Step-by-step explanation:

The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78

3 0
3 years ago
Find the geometric mean of 24 and 32
Maru [420]

Answer:

27√39

Step-by-step explanation:

To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.

8 0
3 years ago
Read 2 more answers
Please see the screenshot.
sesenic [268]

Answer:

the answer is c, (-10,4) and the radius is 10

Step-by-step explanation:

Hope this helps!❆

6 0
3 years ago
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