Answer:
(-7,-15)
Step-by-step explanation:
We can substitute first y in the second y. Both equations are also functions. We can merge the equations.
Substitute x = -7 in any given equations. I will choose the second equation to substitute in.
<u>Answer</u><u> </u><u>Check</u>
Substitute both x and y in both equations.
The equation is true for (-7,-15).
The second equation is true for (-7,-15).
Therefore our answer is (-7,-15)
Answer:
Vertices at (-7, 5) and (-1, 5).
Foci at (-9, 5) and (1,5).
Step-by-step explanation:
(x + 4)²/9 - (y - 5)²/16 = 1
The standard form for the equation of a hyperbola with centre (h, k) is
(x - h²)/a² - (y - k)²/b² = 1
Your hyperbola opens left/right, because it is of the form x - y.
Comparing terms, we find that
h = -4, k = 5, a = 3, y = 4
In the general equation, the coordinates of the vertices are at (h ± a, k).
Thus, the vertices of your parabola are at (-7, 5) and (-1, 5).
The foci are at a distance c from the centre, with coordinates (h ± c, k), where c² = a² + b².
c² = 9 + 16 = 25, so c = 5.
The coordinates of the foci are (-9, 5) and (1, 5).
The Figure below shows the graph of the hyperbola with its vertices and foci.
