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
KonstantinChe [14]
3 years ago
10

How do you do number 1?Whenever I tried to answer it, I always get fraction. help me.​

Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394               since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394.  So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394.  So (-15,-13) looks good!

You might be interested in
A banner is made of 8 equel parts five of the parts are green three of the parts are yellow
irga5000 [103]

Your question is...?

3 0
2 years ago
Solve the inequality 2x < 8 - 4(2 - x)
nevsk [136]
Remember you can' do anything to boht sides, but when times negative, flip sign
distributive property
a(b+c)=ab+ac

distribute the -4
-8+4x

now we have
2x<8-8+4x
2x<4x
minus 2x both sides
0<2x
therefor
0<x

answer is x>0
5 0
3 years ago
How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is  one.

8 0
3 years ago
four students spent 12 on school lunch.at this rate find the amount 10 students would spend on the same school lunch
zloy xaker [14]

Step 1: Set up the proportion

4/12 = 10/x

Step 2: Cross multiply to get

120 = 4x

Step 3: Divide all by 4 to get

30 = x

Answer: So in total, 10 students would spend $30 on lunch!



4 0
3 years ago
Factoring with Algebra Tiles Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent fac
Nezavi [6.7K]

Answer:

Two zero pair

f(x)=(2x-3)(x+2)    

Step-by-step explanation:

We are given the following quadratic equation:

f(x) = 2x^2+x-6

Since, this a quadratic equation we would have two zero pairs for this model.

Factored form of polynomial:

f(x) = 2x^2+x-6\\f(x)=2x^2+ 4x -3x -6\\f(x)=2x(x+2)-3(x+2)\\f(x)=(2x-3)(x+2)

is the required factored form of the given polynomial.

6 0
3 years ago
Other questions:
  • 1.Consider the system of equations. x-5y=2
    6·1 answer
  • Round 21.98 to the nearest hundredth
    13·2 answers
  • tasha fnished a job in 3/4 hour. megan finished it in 4/5 of the time tasha took. how long did megan take to finish the job?
    15·2 answers
  • Write each decimal in words. 4. 0.8 5. 400.29 6. 0.0306
    15·1 answer
  • What is the equation for x=-5
    10·1 answer
  • Find the slope of the vertical line that passes through (2,-4)
    14·1 answer
  • SOMEONE KINDLY HELP ME WITH THIS PLEASE! IT'S DUE TONIGHT :( <br> ANGLES
    15·2 answers
  • What’s is the value of the rectangular prism if the rectangular prims has an edge length of 3/4.
    6·1 answer
  • Hey can some one help i know the answer is a but i dont know the equation
    6·2 answers
  • Which phrase is a description of 3n + 5?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!