Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the length of the sides of the new triangle.
Fill in the blank(s) with the appropriate word(s).
((1/2))n
Mathematics
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Perform the operations.1.11 × 10-4
A. 0.00111 B. 0.0000111 C. 0.000111 D. -111,000
Mathematics
Write the equation of the line in slope-intercept form.m = 
, y-intercept (0, 2)
A. y = 
x + 2
B. y = 
x - 2
C. y = - 
x + 2
D. y = - 
x - 2
Mathematics
Find the center (h, k) and the radius r of the circle.x2 + y2 - 18x - 10y + 97 = 0
A. (h, k) = (-9, -5), r = 9 B. (h, k) = (9, 5), r = 3 C. (h, k) = (5, 9), r = 3 D. (h, k) = (-5, -9), r = 9
Mathematics
Find all x-intercepts of the function.f(x) = (x - 4)2 + 3(x - 4) - 18
A. (-7, 0), (2, 0) B. (-6, 0), (1, 0) C. (-2, 0), (7, 0) D. (-1, 0), (6, 0)
Mathematics