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
Serga [27]
3 years ago
14

The sum of two non-zero numbers a and b equals the sum of their reciprocals. If a+b≠0, what is the product of the two numbers?

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0

Answer:

ab = 1

Step-by-step explanation:

A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.

So the reciprocal of x would be x⁻¹ or ¹⁄ₓ

The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.

So we can write this into an equation and solve,

(See image)

Once we solve, we get the equation (ab-1)(a+b) = 0

We are given info that a+b≠0

So for the above equation to be true, ab-1 has to equal 0

For <em>this</em> to be true, the product ab must equal 1

You might be interested in
-10.0-(-3.4)<br><br> also you have to simplify your answer
uysha [10]
-13.4 is the answer. And this is simplified form
4 0
3 years ago
Read 2 more answers
On average the number of electric guitars sold in Ohio each year is 61,640, which is eight times the average number of electric
lord [1]
All you have to do is divide 61,640 by 8

61640/8=7705

There are, on average, 7,705 electric guitars sold in Alaska each year.
7 0
3 years ago
Read 2 more answers
A school principal wants to determine which type of speaker the students prefer to invite to an assembly for the entire student
Lady_Fox [76]
When it comes to sampling methods, random sampling is one of the most effective. The principal wants the results of his or her sample to be as fair as possible, so it is best to choose students randomly, and in a neutral environment. The mall is not a neutral environment because not all students have access to the mall, and even those who do are not guaranteed to provide accurate results. The same goes for a basketball game, and student council. Samples taken from these environments are likely to produce more bias. However, collecting a survey from every tenth student entering the school one morning is more likely to produce accurate results that are representative of the school population.
3 0
3 years ago
Read 2 more answers
Paco pago $105.0 por 10 tacos cual es el precio de cada taco si todos tienen el mismo precio
lora16 [44]

The price of each taco is $10.5

What is unitary method?

We can solve this question by unitary method.
The unitary method is a method of finding the value of one unit and then finding the value of the required number of units. While solving a problem it is important to recognize the units and values.


In this question, 10 tacos cost $105.
Let's represent the cost of 1 taco as x
10 tacos =$ 105
1 taco = x
10x = 105
x = \frac{105}{10}

x = 10.5
Each taco cost $10,5
To read more about unitary method,
brainly.com/question/1955459
#SPJ4

7 0
2 years ago
What is the relationship between the area of the rectangle ABCD and triangle ABC?
Sonja [21]

Answer:

The second one.

Step-by-step explanation:

The area of the triangle has an area that is half the area of the rectangle.

A straight line divides the rectangle directly in half, creating two triangles, each triangle being half the area of the rectangle

6 0
2 years ago
Read 2 more answers
Other questions:
  • 8/9 divided by 2/9 <br><br> Write the expression in unit form. <br> Please explain.
    14·2 answers
  • The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s
    16·2 answers
  • Please help me with this
    5·1 answer
  • Dustin bought 9 pencils. Some of the pencils were green and cost $0.90 each. The remainder of the pencils were purple and cost $
    12·1 answer
  • A pilot in an apache rescue helicopter, at an altitude of 1200 feet, spots his two soldiers on the ground. the angles of depress
    9·1 answer
  • Which expression is equivalent to 4(7 + 8)?
    5·2 answers
  • Given ED, DB which statements about the figure are true? Check all that apply.
    13·1 answer
  • B. <br> 2. Solve using the standard algorithm.<br> 958 x 94
    11·1 answer
  • The area of a square patch of grass is 49 square meters. How long is each side?
    12·2 answers
  • How is the solution of 2y = 8 related to the solutions of 2y &lt; 8? The solution of the equation is y This gives you the 2 for
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!