two companies rent moving trucks. pack and go charges $39.95 flat fee and $0.45 for every mile driven. U-drive charges $59.95 fl
2 answers:
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Answer:
a) 10/3
b) hyperbola
c) x = ± 6/5
Step-by-step explanation:
a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:
Given the conic equation:
We have to make it to be in the form :
Comparing with
e = 10/3 = 3.3333, p = 6/5
b) since the eccentricity = 3.33 > 1, it is a hyperbola
c) The equation of the directrix is x = ±p = ± 6/5
Answer:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
Step-by-step explanation:
Geometrically speaking, the perimeter of a rectangle () is:
(1)
Where:
- Base of the rectangle.
- Height of the rectangle.
Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:
If we know that and
, then the height of the rectangle is:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
The prime factorisation of 600 is given by
Therefore, a = 3, b = 3, c = 5 and d = 2.
Therefore, a = 3, b = 3, c = 5 and d = 2.