Answer:
Standard equation of a circle
(x−3
+(y−3
=4
General form of the equation of a circle
−6x+
−6y+14=0
Parametric equations of a circle
x=2cosθ+3
y=2sinθ+3
Option third is correct enlarged by a factor of 4 because the distance between two dots is 1.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a star showing in the picture.
We are considering the small star as the original image.
And the big star is the pre-image.
As we know,
The scale factor =
(length of the big star in the x-direction from the origin)/(length of the small star in the x-direction from the origin)
The distance between two dots is 1.
Scale factor = 8/3
As the scale factor is greater than 1 it means the image will be enlarged.
Thus, option third is correct, enlarged by a factor of 4 because the distance between two dots is 1.
Learn more about the geometric transformation here:
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Answer:
Growth
7%
Step-by-step explanation:
Exponential Growth:
y = a(1 + r)x
Exponential Decay:
y = a(1 - r)x
Answer:
6
Step-by-step explanation:
Luckily for us, the expression only contains a variable y, so we can disregard the values for variables x and w.
Note, that y = 1.
With that in mind, let's evaluate the expression by plugging the value of y into the expression.
11y - 5 = ?
11(1) - 5 = ?
11 - 5 = ?
6 = ?
Hence, our expression evaluated to 6 when y = 1.
Cheers.