The scale factor of the dilation is calculated by dividing the length of the line after dilation by the length of the initial line. The length of a line is calculated using the distance formula. The center of dilation is the point from which the shape scales, but we can't determine its location without more information.
To find the scale factor of a dilation in a two-dimensional plane, we divide the length of the line after dilation by the length of the initial line. The length of a line can be calculated using the distance formula which is √[(x₂ - x₁)² + (y₂ - y₁)²].
For AB, the distance will be √[(5 - 9)² + (-4 - 4)²] = √[(-4)² + (-8)²] which equals √80. For A'B', the distance will be √(3 - 6)² + (-3 - 3)² = √[(-3)² + (-6)²] which equals √45. The scale factor (k) of the dilation is the ratio of these distances, so k = √45 / √80 which simplifies to √(9/16) or 3/4.
Unfortunately, without more information, such as a fixed point in the original shape, we can't determine the exact location of the center of dilation. But, conceptually, it's the point that the shape is scaling towards or away from during the dilation.
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show your work
Answer:
n=5
Step-by-step explanation:
divide by 0.5
6n-4=26
(add 4 to both sides)
6n=30
Divide both sides by 6
n=5
A.4y = 2x – 6
B.3x + 5y = 7
4x = 2y – 5
C.2y = 4x + 2
D.2x = 5y + 4
15y = 6x – 12
Answer : D
2x=5y+4
15y=6x-12
Solve 2x=5y+4 for x
Divide both sides by 2
2x/2=(5y+4)/2
x = 5/2 y +2
Substitute 5/2 y +2 for x in 15y=6x-12
15y= 6x-12
15y= 6(5/2 y +2 ) -12
Simplify both sides of the equation
15y=15y
Add -15y to both sides
15y-15y= 15y-15y
0=0
Hey Lily , I hope this help and if you have question(s) please let me know . Thanks