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
Leno4ka [110]
3 years ago
8

 Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the

squares of the last 2 numbers.
Mathematics
1 answer:
Sloan [31]3 years ago
8 0
So... our numbers... let's say the first one is hmmm "a"
so the second and subsequent are
a
a+1
a+2
a+3
a+4

there, 5 consecutive whole numbers or integers for that matter

now, we know the sum of the square of the first three,
is the same as the sum of the square of the last two

so \bf \begin{cases}
a\\
a+1\\
a+2\\
\textendash\textendash\textendash\textendash\\
a+3\\
a+4
\end{cases}\qquad (a)^2+(a+1)^2+(a+2)^2=(a+3)^2+(a+4)^2

do a binomial theorem expansion on those, solve for "a"
You might be interested in
Evaluate the expression (4p - m) where m=-4 and p=2<br> Show the work plz.
shusha [124]

Answer:

12

Step-by-step explanation:

(4p - m)

Let m = -4 and p=2

( 4* 2 - (-4))

Multiply

8 - -4

Add

8+4

12

6 0
2 years ago
Read 2 more answers
Help me pleasee and also could you explain bc im so confused​
Rufina [12.5K]
What the person said up above should be correct!
3 0
2 years ago
A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. T
Novosadov [1.4K]

Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

5 0
2 years ago
Nelson finds a video game for $38.50.  The game is on sale for $31.57.  What is the percent of discount on the game?
Zigmanuir [339]
38.50 = 100%
31.57 = ?

Multiply: 31.57 x 100 = 3,157

Divide: 3,157 ÷ 38.50 = 82%
100-82= 18% discount
8 0
3 years ago
claudia is making a gelatin desseert for a party.She plans on making 12 servings for every 5 people.If each pan claudia uses to
prisoha [69]
First we need to find the total amount of servings needed.

(x2) 12 servings/5 people (x2)
        24 servings/10 people

Now we can find the amount of pans needed

24 servings/8 servings (1 pan)
=3 pans

She needs at least 3 pans
5 0
3 years ago
Other questions:
  • The table shows the time it takes Jenny to swim laps. How long will it take her to swim 14 laps?
    10·1 answer
  • Two cyclists start at the same point and travel in opposite directions. one cyclist travels 10 /mi h slower than the other. if t
    12·1 answer
  • When creating a scatterplot, if the points are too close together to see the relationship, how could you adjust your graph?
    5·2 answers
  • If you want to reduce the finance charge, should you shop for a higher or lower interest rate?
    8·1 answer
  • There are two differences between the bank statement and the check register describe each of them
    11·1 answer
  • Candidate A received 15,000 fewer votes than
    8·1 answer
  • What does 4q+2/8+8y+4/8+8q-7y equal
    12·1 answer
  • If you need help with Math:)
    7·2 answers
  • Simplify each expression by combining like terms<br> -3x + 12x =
    14·2 answers
  • 6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!