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5p-7q

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Anonymous

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Anonymous

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6q

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Q: What is 7p plus 6q-2p plus q?
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How do you simplify 2p plus 7p?

To simplify 2p + 7p, you first combine the like terms by adding the coefficients of the p variable. In this case, 2p + 7p is equal to 9p. Therefore, the simplified form of 2p + 7p is 9p.


What is the answer to this question 7p plus 2q equals 46 and 5p plus 3q equals 36?

7p + 2q = 46 . . . . (A) 5p + 3q = 36 . . . . (B) 3*(A): 21p + 6q = 138 2*(B): 10p + 6q = 72 Subtracting gives 11p = 66 so that p = 6 Substitute for p in (A): 7*6 + 2q = 46 or 42 + 2q = 46 which gives 2q = 4 so that q = 2 Solution: (p, q) = (6,2)


What is 4p plus 15 equals 7p-3?

15 + 3 = 7p - 4p ie 18 = 3p so p = 6


What is the perpendicular bisector equation of a line segment with endpoints of p q and 7p 3q?

A line with slope m has a perpendicular with slope m' such that:mm' = -1→ m' = -1/mThe line segment with endpoints (p, q) and (7p, 3q) has slope:slope = change in y / change in x→ m = (3q - q)/(7p - p) = 2q/6p = q/3p→ m' = -1/m = -1/(q/3p) = -3p/qThe perpendicular bisector goes through the midpoint of the line segment which is at the mean average of the endpoints:midpoint = ((p + 7p)/2, (q + 3q)/2) = (8p/2, 4q/2) = (4p, 2q)A line through a point (X, Y) with slope M has equation:y - Y = M(x - x)→ perpendicular bisector of line segment (p, q) to (7p, 3q) has equation:y - 2q = -3p/q(x - 4p)→ y = -3px/q + 12p² + 2q→ qy = 12p²q + 2q² - 3pxAnother Answer: qy =-3px +12p^2 +2q^2


Simplify this expression 4p plus 9 plus 7p plus 2?

It is: 11p+11 simplified