Given:
Consider the two points are B(2,3) and B'(-4,-6).
Center of dilation is the origin.
To find:
The scale factors of this dilation that transformed B into B'.
Solution:
If a figure dilatated by scale factor k and center of dilation is the origin, then

It means, the point after dilation is

where, k is the scale factor.

x-coordinate of image is -4 and x-coordinate of original point is 2.


Therefore, the scale factor is -2. It means, the point and image lie on the opposite sides of center of dilation.
9514 1404 393
Answer:
a. (5x+2)(5x+2)
Step-by-step explanation:
You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:
2(5x)(2) = 20x
This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.
25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)
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Generically, ...
(a +b)^2 = a^2 +2ab +b^2
Here, we have a=5x, b=2.
Answer:
X=-0.9
Step-by-step explanation:
Subtract 1.1x on both sides
. 6x-1.1x=-0.5x
Then you have - 0.5x+1.2=1.65
Now subtract 1.2 on both sides
1.65-1.2=0.45
Now you have - 0.5x=0.45
Divide - 0.5x from both sides
0.45divided by - 0.5= - 0.9