Graph the equation in a graphing calculator or in the table in a regular calculator and look for the zero on the x axis and the y axis
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:
108ft squared
Step-by-step explanation:
Length increased by 50%: 12ft
Width increased by 50%: 9ft
12x9=108ft squared
I think this is right please confirm before using this answer. Please favorite if right.
Step-by-step explanation:
Answer is B but what kind of question is this? You don't even have to find the equation just find which one is different from the others.
A) y+2 = 4x-4
y = 4x-6
B)y-2 = 4x+4
y= 4x+6
C)y = 4x-6 (same with A )
D)y-6 = 4x-12
y= 4x-6 (Same with A and C)
So b is the different one.
150% salary raise means that your salary is being raised by 1.5 because 1.5 is 150%
For example, if you made 10 dollars for salary, 150% salary raise would result in you getting $15 now.
10x 1.5= 15