The first is 4
The second one is
4=x-4
-x=-4-4
X=8
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:
Parallel line:
Perpendicular line:
Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y
we can change it into y=mx+b form
so,
Parallel line:
we know that slope of two parallel lines are always same
so,
Let's assume parallel line passes through (1,1)
now, we can find equation of line
we can plug values
now, we can solve for y
Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as
Let's assume perpendicular line passes through (2,2)
now, we can find equation of line
we can plug values
now, we can solve for y
2401 is the answer its the correct