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3 years ago

X(x-1)-x^2+2x=5 :))))))

Mathematics

2 answers:

Zina [86]3 years ago

4 0

Answer:

$x(x - 1) - {x}^{2} + 2x = 5 \\ {x}^{2} - x - {x}^{2} + 2x = 5 \\ \therefore \: x \: = 5$

AleksAgata [21]3 years ago

4 0

Answer:

x=5

Step-by-step explanation:

$x(x-1)-x^2+2x=5$

expand by using distributive property

$x^2-x-x^2+2x=5$

simplify

x=5

check work by substituting 5 into the original equation and simplify

use PEMDAS

$5(5-1)-5^2+2(5)=5$

$5(4)-25+10=5$

add and subtract (left to right)

20-25+10=5

5=5

The equation is true, thus x=5

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seropon [69]

Answer:

BD = 1 unit

AD = 1 unit

AB = 1.6 units

AC = 1.6 units

Step-by-step explanation:

In the picture attached, the triangle ABC is shown.

Given that triangle ABC is isosceles, then ∠B = ∠C

∠A + ∠B + ∠C = 180°

36° + 2∠B = 180°

∠B = (180° - 36°)/2

∠B = ∠C = 72°

From Law of Sines:

sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB

(Remember that BC is 1 unit long)

AB = AC = sin(72°)/sin(36°) = 1.6

In triangle ABD, ∠B = 72°/2 = 36°, then:

∠A + ∠B + ∠D = 180°

36° + 36° + ∠D = 180°

∠D = 180° - 36° - 36° = 108°

From Law of Sines:

sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB

(now ∠A = ∠B)

BD = AD = sin(∠A)*AB/sin(∠D)

BD = AD = sin(36°)*1.6/sin(108°) = 1

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3 years ago

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Sav [38]

Answer:

Depends on what number(s)/fraction(s) your working with.

Step-by-step explanation:

Find the reciprocal of a fraction by flipping it. The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted).

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Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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2 years ago

Some friends of yours collected books for a book drive. They collected 64 Fiction, and 48 Non-Fiction books. They asked you to m

Cloud [144]

As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.

Let n be the total number of bundles that my team can send.

There are 64 Fiction books, so

nx=64 ...(i)

Or x=64/n ...(ii)

also, there are 48 Non-Fiction books, so

ny=48 ...(iii)

Or y=48/n ...(iv)

Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.

The possible common factors of 64 and 48 are,

n=1,2,4,8, and 16.

So, my team can send 1,2,3,4,8 or 16 bundles of books.

Now, from equations (ii) and (iv),

For n=1:

x=64/1=64

y=48/1=48

So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.

For n=2:

x=64/2=32

y=48/2=48

So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.

For n=4:

x=64/4=16

y=48/4=12

So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.

For n=8:

x=64/8=8

y=48/8=6

So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.

For n=16:

x=64/16=4

y=48/16=3

So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.

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