Solve by substitution: y=3x and x+y=-32
2 answers:
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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.
Answer:
254.47
Step-by-step explanation:
Answer:
The policy pay $47200 .
Step-by-step explanation:
As given
An insurance policy pays 80% of the first $20,000 of a patient's medical expenses, and 60% of the remainder.
80% is written in the decimal form.
= 0.80
Medical expenses pay by the insurance policy on first $20000 = 0.80 × 20000
= $16000
As given
Insurance policy pays 60% of the remainder.
The patient's total medical bill is $72,000.
Patient medical bill over $20000 = $72000 - $20000
=$52000
60% is written in the decimal form.
= 0.60
Medical expenses pay by the insurance policy on the remainder = 0.60 × $52000
= $31200
Total Medical expenses pay by the insurance policy = Medical expenses pay by the insurance policy on first $20000 + Medical expenses pay by the insurance policy on the remainder .
Total Medical expenses pay by the insurance policy = $16000 + $31200
= $47200
Therefore the policy pay $47200 .