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blsea [12.9K]
3 years ago
15

Write an algebraic representation of a dilation that has a scale factor of 0.45.

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

(x, y) → (kx, ky)

Step-by-step explanation:

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Can someone please help me!
Anton [14]

Answer:

D

Step-by-step explanation:

Let's derive the equations for the two graphs;

For the graph towards the right,

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(-7,0) and (-4,-3)

Slope = -3-0/ -4-(-7) = -3/ 3 = -1

From the general equation of a line

y = mx + c = -1× x + c = -x + c

Since c is not obvious we can find the equation by picking just a point along the graph along side an arbitrary (x,y) point hence we have for slope;

If we pick (-7,0)

y-0 / x-(-7) = -1

y / x+7 = -1

y = -x -7

The equations of the graphed lines are;

y=x-1

y=-x-7

Look at option D you we see it's the same as the equation of the graph towards the right y=x-1

For the records

y=[x+3]-4 = x+3-4 = x-1

4 0
3 years ago
I don't understand..please help:
andrew-mc [135]
X is Andrews age and if x stands for Andrew then

x-28=5x-160

then you would do =+160 to both sides getting x+132=5x

subtract the x from the side with 132 and then do 4 divided by 132
getting 33
Andrew is 33
4 0
3 years ago
What is the volume of a cube shaped box with edges 6 cm. in length
Lesechka [4]
The answer is:  " 216 cm³ " .
_____________________________________________
<u><em>Note</em></u>:
_____________________________________________
   (6 cm)³ = (6 cm)*(6 cm)*(6 cm)  =  216 cm³ .
_____________________________________________
8 0
3 years ago
Find the first three terms of the sequence with nth term 3n-2​
kykrilka [37]

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

7 0
3 years ago
What is 825x92. (just practice for 25 points)
Leno4ka [110]
75900 is your answer.
6 0
3 years ago
Read 2 more answers
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