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skelet666 [1.2K]
4 years ago
5

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Mathematics
1 answer:
Rzqust [24]4 years ago
7 0
At least you can write it as the sum of half of it twice, that is:
2/x = 1/x + 1/x
whatever x number you have, for example:
2/5 = 1/5 + 1/5

But then, you can express a fraction in many different ways, for example again:
2/5 = <span>1/5 + 1/5 = 2/10 + 2/10
</span>= 1/10 + 1/10 + 1/10 + 1/10
so there are an infinite ways of expressing such a fraction.
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Identify all rays and lines in the picture below.<br> (Full question above)
Arte-miy333 [17]

Answer:

\bold{Rays:}\ \overrightarrow{EA},\ \overrightarrow{EB},\ \overrightarrow{EC},\ \overrightarrow{ED},\ \overrightarrow{DE},\ \overrightarrow{BE}\\\\\bold{Lines:}\ \overleftrightarrow{ED},\ \overleftrightarrow{BE}

Step-by-step explanation:

Look at the picture.

4 0
3 years ago
Enter your answer in the box.
TEA [102]
This is an arithmetic series,
so 
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73

S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925

Answer : 925
8 0
4 years ago
a barn casts a shadow that is 12 meters long while a tree in the yard casts a shadow that is 8 meters long. how long is the tree
STALIN [3.7K]
Using proportion...

length of barn                       length of tree
--------------------------------  =  --------------------------------
length of barn's shadow       length of tree's shadow

20       x
----  =  ---
12       8

Using cross-multiplication...

20 x 8 = 12x
160 = 12x
x = 13 1/3 or 13.3333

The tree is 13 1/3 meters long.
7 0
4 years ago
Rearrange the formula y=<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7Bx%20-%204%7D%20" id="TexFormula1
Sophie [7]

Answer:

Step-by-step explanation:

y =\frac{x+2}{x-4}\\\\y*(x-4)=x+2\\\\yx-4y = x+ 2\\\\yx-4y-x = 2\\\\yx -x  = 2 +4y\\\\x(y-1)=2+4y\\\\x=\frac{2+4y}{y-1}

5 0
3 years ago
Read 2 more answers
A quadratic relation has zeros at 3 and –5. The parabola goes through the point (2, –14). What is the equation of the parabola i
olasank [31]

Answer:

\displaystyle  2 {x}^{2}  + 4x - 30 = 0

Step-by-step explanation:

we are given the zeros and a point where it goes through of a quadratic equation

remember that when the roots are given then the function should be

\displaystyle \: y =  a(x -  x_{1})(x -  x_{2})

where a is the leading coefficient and x1 and x2 are the roots

substitute:

\displaystyle y = a(x -  (3))(x -  ( - 5))

simplify:

\displaystyle y = a(x -  3)(x  + 5)

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a

substitute:

\displaystyle a(2 -  3)(2  + 5)  =  - 14

simplify parentheses:

\displaystyle a(  - 1)(7)  =  - 14

simplify multiplication:

\displaystyle  - 7a =  - 14

divide both sides by -7:

\displaystyle  a =  2

altogether substitute:

\displaystyle y = 2(x -  3)(x  + 5)

since it want the equation y should be

\displaystyle  2(x -  3)(x  + 5)  = 0

recall quadratic equation standard form:

\displaystyle   {ax}^{2}  + bx + c = 0

so simplify parentheses:

\displaystyle  2( {x}^{2}  + 2x - 15 )  = 0

distribute:

\displaystyle  2 {x}^{2}  + 4x - 30 = 0

hence,

the equation of the parabola in standard form is <u>2</u><u>x</u><u>²</u><u>+</u><u>4</u><u>x</u><u>-</u><u>3</u><u>0</u><u>=</u><u>0</u>

8 0
3 years ago
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