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
maw [93]
2 years ago
14

Prove: The difference of the reciprocals

Mathematics
1 answer:
murzikaleks [220]2 years ago
7 0

Step-by-step explanation:

let two successive integers n, n+1

difference of the reciprocals:

\frac{1}{n}-\frac{1}{n+1} \\=\frac{(n+1)-n}{(n)(n+1)}\\=\frac{1}{(n)(n+1)}\\=\frac{1}{(n)}\frac{1}{(n+1)}\\

You might be interested in
the length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4cm, what is the area of the
antoniya [11.8K]

Answer:

A = 10.27cm²

Step-by-step explanation:

Let's represent the width as x,

therefore since the length is 4 more than 3 times the width, it can be represent as 3x + 4,   Perimeter = 18.4cm

Perimeter of a rectangle = 2(L + B)

18.4= 2(3x+4+x)\\18.4= 6x+8+2x\\18.4-8=6x+2x\\10.4=8x\\x=\frac{10.4}{8}\\x=1.3

width = 1.3cm

Length = 3x + 4 = 3*1.3 + 4 = 7.9cm

Area of a rectangle = length x width

A = 7.9 * 1.3 = 10.27cm²

6 0
2 years ago
Read 2 more answers
Jane's salary is increased by 2% to $30396. How much was her salary before the rise?
harina [27]
_award brainliest if helped!

so 102% = 30396
100% (original) = 30396/102*100 =29800

Her salary was $29800 before the rise
6 0
3 years ago
Read 2 more answers
If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle
prohojiy [21]
Set up and solve an equation:

3(90-x) = (180-x).  Then  270 - 3x = 180 - x, or   270 - 180 = 2x.
                                                                               90 = 2x, so x = 45 deg.

Is this true?     3(90-45) = (180-45)?  If so, x = 45 degrees is correct.
3 0
2 years ago
PLEASE HELP MEEE!!!!!​
oksano4ka [1.4K]

Answer:

that correct answer is D, Substitute the coordinates x and y-value in the equation, (12 is the x-value, 10 is the y-value). 10 is not equal to 22 + 12, so the correct answer is D.

Hope this helps!

7 0
3 years ago
If 10 miles=16km, about how many miles would be equal to 76 km?​
Shalnov [3]

it would be 7 lolz dheisns

6 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the formula for h: A=1/2bh+3
    12·2 answers
  • What is the volume of a cone with a radius of 5 inches and a height of 8 inches?
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=4%5E%7B3%2F4%7D%20%2A%202%5E%7Bx%7D%20%3D16%5E%7B2%2F5%7D" id="TexFormula1" title="4^{3/4} * 2
    9·2 answers
  • Please answer this correctly
    8·1 answer
  • Order the decimals from least to greatest 3.4897, 3.3487, 1.5467, 3.348
    13·1 answer
  • In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase
    14·1 answer
  • I need help. Thank you.
    10·2 answers
  • FIND THE PRODUCTS OR QUOTIENYS IN THE EXPONENTIAL FORMS BY USING LAWS OF INDICES.​
    9·1 answer
  • Please help , thanks​
    7·1 answer
  • Which arrangement shows - 27 -4.1, -52and and 3 in order from least to greatest? 3 0 - 4.1. - 27 -3, -5% 0 , 0 -53 -3.-4.1, -7 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!