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
Sati [7]
3 years ago
6

The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0
Lets say that the two unknown integers are n and m.

We know the following things about n and m:

n+m=26
n^2+m^2=340

And, we want to find nm.

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

(n+m)^2=n^2+2nm+m^2

So, given what we know about the unknown integers, the previous can be written as:

(26)^2=340+2nm

We can easily solve for nm:

nm= \frac{(26)^2-340}{2}= \frac{676-340}{2}= \frac{336}{2}=168

The answer is 168.

Another approach to solve the problem is, from the two starting equations, compute the values of n and m, which are 12 and 14, and directly compute their product; however, the approach described is more elegant. 
You might be interested in
Adison earned $25 mowing her neighbors lawn. Then she loaned her friend $18 and got $50 from her grandmother. She now has $86. H
Marat540 [252]
29 dollars because 25-18+50=57 and 86-57=29
4 0
3 years ago
Please Help! My question is in the picture.
Varvara68 [4.7K]
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
a_{n} =   \frac{1}{4} a_{(n-1)}

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
a_{n} = \frac{1}{4} a_{(n-1)}
a₁ = 2

4 0
3 years ago
A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?
Harlamova29_29 [7]
A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.
6 0
3 years ago
Read 2 more answers
9 x 76 using the distributive property
zysi [14]

As far as I'm aware, you can't use the distributive property for a simple multiplication problem.  However, the answer to 9 x 76 is 684.  Hope this helped!

-TTL

5 0
3 years ago
Read 2 more answers
Is the relation { (3, 2), (-1, 2), (7, 2), (0, 2)} a function? Why or why not? List the domain and range.
Makovka662 [10]

Answer:

its a function because each input (X) only has one output (y)

domain (3,-1,7,0)

range (2)

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The value of 3 in 6300 is how many times the value of 3 in 530
    11·2 answers
  • Need help with this geometry assignment due soon pls smart people help and show work
    5·1 answer
  • What is the critical path and minimum prep time in order to host a party?
    11·1 answer
  • Is {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} a relation? why?
    7·1 answer
  • A Country’s population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponentia
    12·1 answer
  • Type SSS, SAS, ASA, SAA, or HL to
    12·1 answer
  • Compute the dimensions of gravitational constant G where F=Gm1m2/r^2​
    9·1 answer
  • 1. The circumference of a circle is 111 inches. What is the area, in square inches of the Circle? Express your answer in terms o
    6·1 answer
  • How many ways can you choose a manager and assistant from 7-person task force? *​
    8·1 answer
  • Help is greatly appreciated:)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!