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Please help with the following problems Given the point (5,4) and (10,-6), find the following: a. The gradient m [1] b. The equation of the

Please help with the following problems

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Given the point (5,4) and (10,-6), find the following: a. The gradient \"m\" [1] b. The equation of the line passing through the given points above (2] c. The length of the line segment with the given points above [2] d. The midpoint of the line segment using the given points above [1] e. The equation of a line perpendicular to the line in (b) that passes through the point (10,5) (3] Using ONLY Completing the Square, solve the following quadratic equation: [7] 3x2+x%=0 Solve the following: a. |3x+4|=>2 (3] b. x*10x2+25=0 (3] c. (3x- 5)5 =2 (3] Tanya runs at an average speed of 8 miles per hour. Two hours after Tanya leaves her Christine's house, Christine drives down the same route Tanya is running on. If Christine is driving at a constant speed of 40 miles per hour, how long would it take her to reach up to Tanya? How far would they both be from Christine's house? [7] Solve the following Radical Equation: VIx-5-Vx+7=2 (7] Given f(x) = |x 2| and g(x) = = a. Find f(g(2) (5] b. Given an interval of [-1,4] find the average rate of change for g(x) [3] c. Find the inverse of g(x) [3]

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