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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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M= -3 b= -1 slope intercept form ​
Aliun [14]

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

5 0
3 years ago
Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​
jenyasd209 [6]

The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.

Radius of 1 sphere = 6.5 cm

We know that the volume of the sphere is given by 4/3 π r³

We will take the radius as 6.5 cm and π as 22/7

Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.

Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.

The radius of all the spheres are 46032.38 cubic cm.

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

The supplied point is the sphere's center, while the letter r stands for the sphere's radius which is half the diameter. The earliest known allusions to spheres are found in the works of two ancient Greek mathematicians.

Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .

Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​Find the total volume of water required.

To learn more about sphere visit:

brainly.com/question/9994313

#SPJ9

3 0
1 year ago
Write an equation of the line that passes through (2,-4) and (0,-4)
Arte-miy333 [17]

y = mx + b

To find the slope(m), you use the slope formula:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

You plug in the points into the equation.

m = \frac{-4 - (-4)}{0 - 2}

m = \frac{-4+4}{0-2} = \frac{0}{-2} =0

The slope is 0

y = 0x + b

Any number multiplied by 0 is 0. So:

y = b

To find b, you plug in the y value of either of the points.

-4 = b

Your equation is:

y = -4 (This is a horizontal line)

5 0
3 years ago
The translation that moves a figure down 4, to the right 2 is
lorasvet [3.4K]
I think it is the 3 on
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When Joseph finished packing his backpack, it had a mass of 5 kilograms. What was the mass of the backpack in grams
worty [1.4K]
There is 1000 grams in a kilogram so he had a mass of 5,000 grames in his bag
7 0
3 years ago
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