SOLUTION: Your given the points A(2;4), B(-4;-1), C(-1;-7) and D(p;q) calculate p and q, if ABCD is a parallelogram

Algebra.Com
Question 633446: Your given the points A(2;4), B(-4;-1), C(-1;-7) and D(p;q) calculate p and q, if ABCD is a parallelogram
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
A(2,4),
B(-4,-1), m = 5/6
D( p, q)
C(-1,-7) m = 5/6 = (q+7)/(p+1)
q + 7 = 5
p + 1 = 6
q + p = 3
p = 3-q
(3-q) + 1 = 6, q = -2 and p = 5


RELATED QUESTIONS

Given that the four points A(1,2), B(2,-5), C(7,0) and D(p,q) are the vertices of rhombus (answered by mananth)
If |p| - 4 = |q| , which of the following could be the values of p and q? a) p = 2 and (answered by Edwin McCravy)
For all integers p and q, let # be defined by p # q = p^2 + q^2 + 2pq . Which of the... (answered by richard1234)
The function p(q) = q^2 - 7 and f(s) = 9. If 2f(s) = p(q), what is the value of q? (A) (answered by rfadrogane)
Given P = (−3, 1) and O the origin, describe the set of all points Q in the plane... (answered by longjonsilver)
If p varies inversely as q and p = -8 when q = 2, find p when q = -4. A. 16 B. -16... (answered by ewatrrr)
If p,q,r are any real numbers,then a)max(p,q) < max(p,q,r) b)min(p,q)=1/2((p+q)-(p-q)) (answered by tommyt3rd)
1. D 2. ~C 3. (A v B) -> C 4. [(~A • D) • ~B] -> (P -> Q) :. ~P v... (answered by jim_thompson5910)
1. Let p(x), q(x) denote the following open statements. p(x): x ≤ 3 q(x): x + 1 is (answered by jim_thompson5910)