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SashulF [63]
3 years ago
12

Let A={1, 2, 3, 4} and B= {2,5,7} find the set A U B

Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0
A ∪ B is {1, 2, 3, 4, 5, 7}

Set up the union notation of set {1,2,3,4} and {2,5,7}.
{1,2,3,4}∪{2,5,7}

The union of two sets is the set of elements which are in either sets.
{1,2,3,4,5,7}
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Help me please, not very good at math. Thank u:)
ozzi

Answer:

76cm^2

Step-by-step explanation:

Separate the shape into two different rectangles. Then add the area of the rectangles together.

4 x 4 = 16

6 x 10 = 60

16 + 60 = 76

8 0
2 years ago
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How do you find the width of a rectangle when the perimeter is given?
ololo11 [35]
Usually you are given more information about the rectangle such as distance of length in terms of width.

You know that the formula for perimeter is

P=2(l+w)

Substitute p and the other values to find width.

Hope I helped :)
4 0
3 years ago
Write and equation of the translated or rotated graph in general form (picture below)
WINSTONCH [101]

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

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∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ (\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=

 ( \frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0

* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

∴ \frac{-4xy}{2}-16=0

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

6 0
3 years ago
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Hey guys can you please help me with this math problem?
shusha [124]

Answer:

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Step-by-step explanation:

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3 years ago
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Please help me with this IXL
denis-greek [22]

Step-by-step explanation:

Calculate the the total number of the boxes. We can calculate it by counting number of the rows and the number of the columns and then multiplying it.

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Total number of columns = 10

Total boxes = 100

Shaded boxes = 72

We calculate %age by,

=> Selected boxes/Total boxes x 100

=> 72/100 x 100

=> 72%

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

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