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Feliz [49]
3 years ago
11

Identify the graph of the equation. What is the angle of rotation for the equation?xy=-2.5

Mathematics
2 answers:
AveGali [126]3 years ago
7 0

Answer:

The correct option is b

Step-by-step explanation:

The given equation is

xy=-2.5

It can be written as

xy+2.5=0              .... (1)

The general forms of conic is

Ax^2+Bxy+Cy^2+Dx+Ey+F=0             .... (2)

From (1) and (2), we get

A=0,B=1,C=0,D=0,E=0,E=2.5

B^2-4AC=1-4(0)(0)=1>0

Since the value of B²- 4AC > 0, then it is hyperbola.

The formula form angle of rotation is

\tan 2\theta=\frac{B}{A-C}

\tan 2\theta=\frac{1}{0-0}

\tan 2\theta=\infty

\tan 2\theta=\tan (90^{\circ})

2\theta=90^{\circ}

\theta=45^{\circ}

The angle of rotation is 45°. Therefore the correct option is b.

Maurinko [17]3 years ago
3 0

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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Answer:

<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,
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(b)

  • (i) P(even) = 12/16 = 3/4
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<h3>#8</h3>

(a) <u>Sample space:</u>

  • 1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

  • P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

  • P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

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A car rental agency has 18 vehicles available, of which 3 are convertibles. What is the probability that a randomly selected veh
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Answer:

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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

= \frac{1}{6}

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