On a coordinate plane, vertex A for triangle ABC is located at (6,4). Triangle ABC is dilated by a scale factor of 0.5 with the
1 answer:
<h2>Answer:</h2>
Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. If the factor of dilation is greater than one the shape is greater than the original, else if the scale factor is less than one the shape is smaller. In this problem, we must find the coordinates of A'. Since the center of dilation is the origins, we just need to multiply the coordinates of A by 0.5. So:
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Answer:
The farther star will appear 4 times fainter than the star that is near to the observer.
Explanation:
Since it is given that the luminosity of the 2 stars is same thus they radiate the same energy per unit time
Consider a spherical wave front of energy 'E' that leaves both the stars (Both radiate 'E' as they have same luminosity)
This Energy is spread over the whole surface area of sphere Thus when the wave front is at a distance 'r' the energy per unit surface area is given by
For the star that is twice away from the earth the distance is '2r' thus we will receive an energy given by
Hence we sense it as 4 times fainter than the nearer star.