Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Answer:
x = ± 
Step-by-step explanation:
Given
ax² + b = c ( subtract b from both sides )
ax² = c - b ( divide both sides by a )
x² =
( take the square root of both sides )
x = ± 
anaalyze the problem
first term: -1
common difference: +9 (8-(-1) is 9)
so, an=-1+9n-9
answer is an=9n-10, with n bigger or equal to one
sixth term,plug in 9(6)-10=54-10=44
tenth term, plug in 9(10)-10=90-10=80
Answer: 99cm^2
Step-by-step explanation:
The area of a parallelogram is the base*the height.
The base is 4+5 = 9 cm.
Therefore, the area of a parallelogram is 9*11 = 99cm^2