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olasank [31]
2 years ago
10

Find the value of x. show work

Mathematics
1 answer:
dedylja [7]2 years ago
5 0
<h2><u><em>Answer:</em></u></h2><h2><u><em>x = √77</em></u></h2><h2><u><em>or</em></u></h2><h2><u><em>x = 8.77</em></u></h2>

<u><em></em></u>

Step-by-step explanation:

it's a right triangle

Pythagorean theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x² = 9² - 2²

x² = 81 - 4

x² = 77

x = √77

or

x = 8.77

---------------------

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If number is added to its square, the result is 56. find the number.
jekas [21]

Answer:

  -8 or +7

Step-by-step explanation:

Let x represent the number. The the problem statement tells us ...

  x² + x = 56

  x² +x -56 = 0 . . . . . subtract 56 to put into standard form

  (x +8)(x -7) = 0 . . . . factor

Solutions to the equation are values of x that make the factors zero:

  x = -8 . . . or . . . x = +7

The number could be -8 or +7.

_____

<em>Check</em>

For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.

For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.

5 0
3 years ago
there are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside the cage. How many chickens are in the
mezya [45]
44 chicken and 28 rabbits

Given:
chicken head + rabbit head = 72 heads
chicken feet + rabbit feet = 200 feet

c + r = 72
2c + 4r = 200

find the value of c using the 1st equation:
c = 72 - r

substitute c by its value in the 2nd equation:
2c + 4r = 200
2(72-r) + 4r = 200
144 - 2r + 4r = 200
2r = 200 - 144
2r = 56
r = 56/2
r = 28

c = 72 - r
c = 72 - 28
c = 44

c = 44 ; r = 28

To check:
2c + 4r = 200
2(44) + 4(28) = 200
88 + 112 = 200
200 = 200
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4 years ago
Define a power set give short answer plz
seraphim [82]

Answer:

In set theory, the power set (or powerset) of a a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this is the combination of all subsets including null set, of a given set

7 0
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Answer:

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Step-by-step explanation:

we could define a function where the domain X is again the set of people but the codomain is a set of number. For example , let the codomain Y be the set of whole numbers and define the function c so that for any person x , the function output c(x) is the number of children of the person x.

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Answer:

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Step-by-step explanation:

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