Identify the graph of the equation. What is the angle of rotation for the equation?xy=-2.5
2 answers:
Answer:
The correct option is b
Step-by-step explanation:
The given equation is

It can be written as
.... (1)
The general forms of conic is
.... (2)
From (1) and (2), we get


Since the value of B²- 4AC > 0, then it is hyperbola.
The formula form angle of rotation is






The angle of rotation is 45°. Therefore the correct option is b.
Answer:
It is B. hyperbola, 45 degrees.
SteIt is p-by-step explanation:
If we rotate the standard form x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.
xy = -2.5 comes from x^2 - y^2 = -5 being rotated 45 degrees.
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<h3>#7</h3>
(a)
<u>Sample space:</u>
- 1*1, 1*2, 1*3, 1*4,
- 2*1, 2*2, 2*3, 2*4,
- 3*1, 3*2, 3*3, 3*4,
- 4*1, 4*2, 4*3, 4*4
Total 16 outcomes
(b)
- (i) P(even) = 12/16 = 3/4
- (ii) P(3x) = 7/16
- (iii) P(perfect square) = 4/16 = 1/4
<h3>#8</h3>
(a) <u>Sample space:</u>
- 1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H
Total 8 outcomes
(b)
(i) 1T, 3T
(ii) 1H, 4H
- P(H and square) = 2/8 = 1/4
(iii) 1H, 2H, 3H, 4H
Answer:
Step-by-step explanation:
To find the probability, divide the number of desired outcomes by the total:
This will be 3/18, since there are 3 convertibles and there are 18 total cars
Simplify 3/18
= 