Answer: 
Step-by-step explanation:
For this exercise it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.
If the Dilation is centered at the origin, and knowing the scale factor of 
, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.
Knowing that the point T has the following coordinates:
You get that the coordinates of the Image T' are the shown below:
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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Answer:
RS 14400
Step-by-step explanation:
Given the following :
Principal sum = RS 40000
Rate = 2 paisa per 2 rupee per month
Interest at the end of 3 years
1 rupee = 100 paisa
2 Paisa per 2 rupee per month :
2/200 per month = 1 / 100 per month,
Hence rate = 0.01 = 1% monthly
Annual rate = 1% × 12 = 12 % = 0.12
Simple interest :
Principal × rate × time
40000 × 0.12 × 3
40000 × 0.36
= RS 14,400
3 because it is a better Dona a toon
Answer:
Step-by-step explanation:
Week 1 = 78
Week 2 = 100
Week 3 = 122
Week 4 = 154
Week 5 = 173
Week 6 = 194
Week 7 = 213
Week 8 = 131
