1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ilia_Sergeevich [38]
3 years ago
5

Helpppppppp!!!!!! plz answer​

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

$\frac{\frac{1}{a}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}=\frac{b-a}{b+a}

Solution:

Given expression:

$\frac{\frac{1}{a}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}

To simplify the given expression:

$\frac{\frac{1}{a}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}

Let us first solve the numerator of the expression \frac{1}{a} -\frac{1}{b}.

To add or subtract the fraction, the denominators of the fraction must be same.

To make it same, multiply \frac{1}{a} by \frac{b}{b} and \frac{1}{b} by \frac{a}{a}.

$\frac{1}{a} -\frac{1}{b}=\frac{b}{ab} -\frac{a}{ab}

          $=\frac{b-a}{ab} ------------------- (1)

Now, solve the denominator of the expression \frac{1}{a} +\frac{1}{b}.

To add or subtract the fraction, the denominators of the fraction must be same.

To make it same, multiply \frac{1}{a} by \frac{b}{b} and \frac{1}{b} by \frac{a}{a}.

$\frac{1}{a} +\frac{1}{b}=\frac{b}{ab} +\frac{a}{ab}

          $=\frac{b+a}{ab}  ------------------- (2)

Substitute (1) and (2) in the given expression.

$\frac{\frac{1}{a}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}

Using rational rule: $\frac{\frac{x}{y} }{\frac{w}{z} }=\frac{x}{y}  \times\frac{z}{w}

        $=\frac{b-a}{ab}}\times {\frac{ab}{b+a}}

Common factor ab get canceled.

        $=\frac{b-a}{b+a}    

$\frac{\frac{1}{a}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}=\frac{b-a}{b+a}

Hence the simplified expression is \frac{b-a}{b+a}.

You might be interested in
How do you graph -1/5x-1 and 4/5x-6
kakasveta [241]

Answer:

The points for the given to linear equations is (5 , - 2) and (5 , - 1)

The points is plotted on the graph shown .

Step-by-step explanation:

Given as :

The two linear equation are

y = \dfrac{-1}{5}x - 1                  ...........1

y = \dfrac{4}{5}x - 6                  ...........2

Now, Solving both the linear equations

Put the value of y from eq 2 into eq 1

I.e  \dfrac{4}{5}x - 6 = \dfrac{-1}{5}x - 1

Or, \dfrac{4}{5}x + \dfrac{1}{5}x  = 6 - 1

Or,  \dfrac{4 + 1}{5}x = 5

or, \dfrac{5}{5}x = 5

∴ x = 5

Now, Put the value of x in eq 1

So, y = \dfrac{-1}{5}x - 1      

Or, y = \dfrac{-1}{5}× 5 - 1              

or,  y = \dfrac{-5}{5} - 1

Or, y = - 1 - 1

I.e y = -2

So, For x = 5 , y = - 2

Point is (x_1 , y_1) = (5 , - 2)

Again , put the value of x in eq 2

So, y = \dfrac{4}{5}x - 6

Or, y = \dfrac{4}{5}× 5 - 6

Or, y = \frac{4\times 5}{5} - 6

Or, y = 4 - 6

I.e y = - 2

So, For x = 5 , y = - 2

Point is (x_2 , y_2) = (5 , - 2)

Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)

The points is plotted on the graph shown . Answer

5 0
4 years ago
In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad
leva [86]
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
7 0
3 years ago
Read 2 more answers
Question 1 answer this
Mademuasel [1]
Answer A and Answer D along with the ones you picked beforehand
8 0
3 years ago
Read 2 more answers
Which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? Explain your reasoning.
pochemuha

Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function.

(ed. just click all of them)


9 0
3 years ago
Read 2 more answers
Will mark brainliest!!
Elodia [21]

Answer:

. Name all horizontal and vertical intercepts of the graph.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 70 x 10 ^ 3 word form
    12·2 answers
  • Which equation represents the graph of the linear function?
    11·2 answers
  • Write the next two terms in the pattern. 11,18,25,32,_,_,
    13·2 answers
  • 9th grade math please help I’m sleepy
    5·1 answer
  • I'm thinking of a number. When I multiply by 8 and add –1, I get –17. What's my number?
    8·1 answer
  • A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
    15·1 answer
  • HElp And THAnkS ASAP
    10·1 answer
  • Help me with this question ​
    5·1 answer
  • The amount of money earned by bank customers based on the amount of principal in their savings account is _______________.
    14·1 answer
  • A group of friends wants to go to the amusement park. They have no more than $225 to spend on parking and admission. Parking is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!