Answer:
Equilateral Triangle
Side a = 1
Side b = 1
Side c = 1
Angle ∠A = 60° = 1.0472 rad = π/3
Angle ∠B = 60° = 1.0472 rad = π/3
Angle ∠C = 60° = 1.0472 rad = π/3
C=60°B=60°A=60°b=1a=1c=1
Area = 0.43301
Perimeter p = 3
Semiperimeter s = 1.5
Height ha = 0.86603
Height hb = 0.86603
Height hc = 0.86603
Median ma = 0.86603
Median mb = 0.86603
Median mc = 0.86603
Inradius r = 0.28868
Circumradius R = 0.57735
Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]
Centroid: [0.5, 0.28868]
Inscribed Circle Center: [0.5, 0.28868]
Circumscribed Circle Center: [0.5, 0.28868]
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
Multiplies by -5
-5*-1=5
5*-5=-25
-25*-5=125
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
A) see attached for a graph. Range: (-∞, 7]
B) asymptotes: x = 1, y = -2, y = -1
C) (x → -∞, y → -2), (x → ∞, y → -1)
Step-by-step explanation:
<h3>Part A</h3>
A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

This has a vertical asymptote at x=1, and a hole at x=2.
The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.
The graph is attached.
The range of the function is (-∞, 7].
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<h3>Part B</h3>
As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.
The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.
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<h3>Part C</h3>
The end behavior is defined by the horizontal asymptotes:
for x → -∞, y → -2
for x → ∞, y → -1