A+b+c=75 find out a,b and c
1 answer:
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Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
ANSWER
EXPLANATION
The given parallelogram has vertices,
L(0,-3), M(-2,1), N(1,5), O(3,1).
The diagonals of the parallelogram bisect each other.
From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)
and
M(-2,1),O(3,1).
The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.
Recall the midpoint formula,
Using L(0,-3),N(1,5) gives,
Or we could have also used,M(-2,1),O(3,1) to get,
The correct answer is C
EXPLANATION
The given parallelogram has vertices,
L(0,-3), M(-2,1), N(1,5), O(3,1).
The diagonals of the parallelogram bisect each other.
From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)
and
M(-2,1),O(3,1).
The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.
Recall the midpoint formula,
Using L(0,-3),N(1,5) gives,
Or we could have also used,M(-2,1),O(3,1) to get,
The correct answer is C