1)<span>Circle W has center (−3, 0) and radius 8 the equation of a circle W is (x+3)</span>²+(y)²=8²
2)<span>Circle V is a translation of circle W, 2 units down. the center of circle V--------> (-3,0-2)---------> (-3,-2)
3)</span><span>Circle V is a dilation of circle W with a scale factor of 2. then the radius circle V is 8*2------> 16 units </span>the equation of a circle V is (x+3)²+(y+2)²=16²
therefore
case <span>A. Circle V and circle W are similar.---------> is correct </span>because I can transform circle V to circle W using only translations, rotations and scaling (In the case of circles, no rotations are necessary).
case <span>B. Circle V and circle W have the same center.-------> is not correct
case </span><span>C. The radius of circle V is 16.-----------> is correct
case </span><span>D. The center of circle V is (−5, 0).----------> is not correct
the answer is </span> case A. Circle V and circle W are similar.---------> is correct case C. The radius of circle V is 16.-----------> is correct
You are gonna use a^2 + b^2 = c^2 because the cities make a right triangle and you are trying to find the hypotenuse (c). C^2 ends up being 517 and the square root, your answer, is 22.7 miles
