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1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2
2. If the pair of lines ax² + 2pxy - ay² = 0, bx² + 2qxy - by² = 0 are such that each pair bisects the angle between the other pair, then show that ab + pq = 0.
3. Find the equation of the circle concentric with the circle x2 + y2 - 8x + 6y - 5 = 0 and passes through the point (-2, -7)
It takes light 5.3 × 10 -6 seconds to travel one mile. What is this time in standard notation? In order to convert this number to standard notation, multiply 5.3 through the f
What is Angle Pairs? Two angles are adjacent angles if they have the same vertex and share one side. Vertical angles are a pair of nonadjacent angles formed by two intersecting
Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
The Rank Correlation Coefficient (R) Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among tw
Solve for x: 4 log x = log (15 x 2 + 16) Solution: x 4 - 15 x 2 - 16 = 0 (x 2 + 1)(x 2 - 16) = 0 x = ± 4 But log x is
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
all formulas of plane figures
Example of Trig Substitutions Evaluate the subsequent integral. ∫ √((25x 2 - 4) / x) (dx) Solution In this type of case the substitution u = 25x 2 - 4 will not wo
Tammi's latest printer can print 13.5 pages a minute. How many pages can it print in 4 minutes? Multiply 13.5 by 4 to ?nd out the number of copies made; 13.5 × 4 = 54 copies.
Assessment task This Term Assessment will require you assess the effectiveness of your current lunch budget and prepare a proposal to your caregiver to seek permission to be given
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