Step-by-step explanation:
first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).
the blue colored area is the area of the whole square minus the area of the circle.
the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.
so, the area of the square is
24² = 576 units²
the are of the circle is
pi×r² = pi×12² = 144pi units²
so, the blue area is
576 - 144pi = 123.6106579... ≈ 124 units²
therefore, D is the right answer.
Answer:
1 inch equals 8 feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
The hyperbola has x-intercepts, so it has a horizontal transverse axis.
The standard form of the equation of a hyperbola with a horizontal transverse axis is
The center is at (h,k).
The distance between the vertices is 2a.
The equations of the asymptotes are
1. Calculate h and k. The hyperbola is symmetric about the origin, so
h = 0 and k = 0
2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6
a = 6/2 = 3
3. For 'b': The equation for the asymptote with the positive slope is
Thus, asymptote has the slope of
4. The equation of the hyperbola is
The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.
Answer:
Answer. (alpha + beta ) ^2 - 2 × alpha×beta
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