Answer:
x^2\ 16 - y^2/9 = 1
step-by-step explanation:
soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1
a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.
it helps to graph this so you can see it better
to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2
then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2
you get 9 for b^2 because 25-16=9 and so you put that in the equation
Answer:
x=41
y=139
Step-by-step explanation:
x+y = 180 since they form a straight line
y is 3x +16
y = 3x +16
Replace y in the first equation
x+3x +16 = 180
Combine like terms
4x +16 = 180
Subtract 16 from each side
4x+16-16 =180-16
4x =164
Divide each side by 4
4x/4 =164/4
x = 41
y = 3x +16
y = 3*41 +16 = 123+16 =139
144
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