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 nth new triangle.
What will be an ideal response?
The length of the sides of the nth new triangle is (
)n.
Mathematics
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Choose the polar equation that matches the graph.
A. r = 5 cos(?/4) B. r = 1 - 5 sin(4?) C. r = 1 - 5 sin(?/4) D. r = 1 - 5 cos(4?)
Mathematics
Solve the problem.The hyperbola 
- 
= 1 is shifted horizontally and vertically to obtain the hyperbola
- 
= 1Find the asymptotes of the new hyperbola.
A. y + 3 = ± 
(x + 1)
B. y = ± 
x
C. y + 3 = ± 
(x + 1)
D. y + 3 = ± 
(x + 1)
Mathematics
Evaluate the exponential expression.
4
A. 
B. 
C. 
D. 
Mathematics
Find the slope and the y-intercept.3x + 4y = -5
A. m = -3; (0, -5)
B. m = -12; (0, -20)
C. m = - 
; 
D. m = - 
; 
Mathematics