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erastova [34]
3 years ago
11

Express in Simper Fom : y-x

Mathematics
1 answer:
AveGali [126]3 years ago
6 0
Simplify

E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}


Conditions for the existance of E:

x\neq 0~~\text{ and}~~y\neq 0~~\text{ and }~~x\neq -y.

(otherwise, the one of the denominators would be zero.)
____________________

Simplifying:

E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}


Multiply both the numerator and the denominator by xy:

E=\dfrac{xy\cdot \left(\frac{x}{y}-\frac{y}{x} \right )}{xy\cdot \left(\frac{1}{y}+\frac{1}{x} \right )}\\\\\\ E=\dfrac{\frac{xy\cdot x}{y}-\frac{xy\cdot y}{x}}{\frac{xy}{y}+\frac{xy}{x}}\\\\\\ E=\dfrac{x^{2}-y^{2}}{x+y}\\\\\\ E=\dfrac{(x+y)(x-y)}{x+y}


Simplify common factors:

E=x-y\\\\\\ \therefore~~\boxed{\begin{array}{c}\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}=x-y \end{array}}

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V^2 = u^2+ 2as<br>u = 12<br>a = -3 s = 18<br>Work out a value of v.​
Shkiper50 [21]

Answer:

use math-way

Step-by-step explanation:

6 0
3 years ago
luke jogged a total of 56.5 miles last week. if luke jogged the same distance,d, each day for 3 days and half that distance on e
Leokris [45]
The algebraic equation used to answer this question is:
3d + 4(1/2d) = 56.5
This is because he ran d, the distance, three times that week. For the rest of the four days, he ran 1/2 the distance, or half d.
To find the answer, you first distribute:
3d + 2d = 56.5
Add like terms:
5d = 56.5
Divide both side by 5:
5d/5 = 56.5/5
d = 11.3
On the first three days, Luke jogged 11.3 miles. On the remaining days, where he jogged 1/2d, Luke jogged 5.65 miles.
Hope this helps!
3 0
3 years ago
If h(x)= 6x - 17, find h(8). *
Lena [83]

The value of h(8) in h(x)= 6x - 17 is 31

<h3></h3>

What are functions:

Functions relate input and output. Therefore, a function takes elements from a set (the domain) and relates them to elements in a set (range).

h(x)= 6x - 17

Let's find h(8)

h(8) = 6(8) - 17

h(8) = 48 - 17

h(8) = 31

learn more on function here:brainly.com/question/15615479?referrer=searchResults

3 0
2 years ago
Read 2 more answers
Find the new price of a 10% markup on the original price of $36.00​
Brut [27]
36 x 0.10 = 3.6
36 + 3.6 = $39.60
7 0
2 years ago
Someone please help
emmasim [6.3K]

Answer:

50 pages per hour

Step-by-step explanation:

8 0
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