What Is The Nth Term Sequence 3,4,5,6,7?
What is the nth term sequence 3,4,5,6,7?
Answer:
an=a1+(n-1)d
an=3+(n-1)1
an=3+n-1
an=2+n
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Write The Standard Equation Or The Circle: Center At C(3,4), Tangent To The Line Y=1/3x - 1/3 And The Solution Please :(
Write the standard equation or the circle: Center at C(3,4), tangent to the line y=1/3x - 1/3 and the solution please :( Answer: (x - 3)² + (y - 4)² = 10 Step-by-step explanation: Center-Radius Standard Equation: (x - h)² + (y - k)² = r² Center (h,k): (3,4) Radius (r): Unknown Equation of line tangent to the circle: y=(1/3)x - 1/3 Point of Tangency: Unknown The radius of the circle is perpendicular to the line tangent to the same circle . The product of theirs slopes is -1. Step 1: Find the equation passing through the center (3, 4) perpendicular to tangent line: Given tangent line: y = (1/3)x - 1/3 Slope (m₁ ) of the tangent line = 1/3 Slope (m₂) of the equation of line passing through the center: (m₂) (1/3) = -1 m₂ = (3/1)(-1) m₂ = -3 ⇒ slope of the other line The equation of the other line with slope = -3 passing through center (3,4): y-y₁ = m(x-1) y - 4 = -3(x - 3) y = -3x + 9 + 4 y = -3x + 13 2) Find the point of tangency of the circle and the tangent line by solvi...
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