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
Ronch [10]
4 years ago
5

which equation supports the given conjecture the sum of the squares of two consective integers is an odd integer

Mathematics
2 answers:
Serjik [45]4 years ago
5 0

As soon as I saw the word "Which...", I knew that there's a list of choices
to go along with this question, and I was pretty sure that when I opened
the question, the list wouldn't be there.  Thanks for not disappointing me.

One integer can be  'x' .  Then the next consecutive integer is  (x+1).

Let's look and see what the sum of their squares looks like:

(x)² = x²

(x+1)² = x² + 2x + 1

Their sum:  (x²)  +  (x² + 2x + 1) = 2x² + 2x + 1 .

That's the expression we need.  Look at it closely.
No matter what  'x' is ...

   --  (2x²)  is definitely an even number
and
   --  (2x)  is definitely an even number
so
   --  (2x² + 2x)  is definitely an even number
and
   --  (<span>2x² + 2x + 1)  (the sum of the integers) is definitely an odd number.</span>

QED


alina1380 [7]4 years ago
3 0

Answer:

bruh add the choices

.       .

____

You might be interested in
Calculate the distance between the points M=(-1, -2) and C=(-9, 2) in the coordinate plane.
Ivanshal [37]

Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

3 0
3 years ago
Vanessa tried to prove that triangle KLM is congruent to triangle MNK. What is the first error Vanessa made in her proof?
Natali [406]

Answer:

Step-by-step explanation:

Vanessa only established some of the necessary conditions

5 0
3 years ago
Which number is divisible by 6 A 102 B 611 C 613 D 614
kherson [118]

Answer:

A. 102

Step-by-step explanation:

102/6 = 17

611/6 = 101.83333....

613/6 = 102.1666...

614/6 = 103.3333......

4 0
3 years ago
What are two fractions equal to 2/5?
Georgia [21]
Two fractions that are equal to 2/5 are 4/10 and 6/15. In order to find fractions that are equal to it, just multiply both the numerator and the denominator by any number. I multiplied them by 2 and 3, to keep things simple.

2 x 2 = 4
2 x 5 = 10
4/10

2 x 3 = 6
5 x 3 = 15
6/15

Hope this helps!
8 0
4 years ago
Read 2 more answers
Wanda reads 180 pages in 2 3/4 h. How many pages can she read in 5 1/2 h?
lakkis [162]

Answer:

are there any options? if not then i think it's 360 ( sorry if i'm wrong)

8 0
3 years ago
Read 2 more answers
Other questions:
  • How about this one. can anyone help
    11·1 answer
  • 1/24 without the fraction bar
    11·1 answer
  • an object starts from rest and accelerates at a rate of 4 m/s^2 for 3 seconds. What is its displacement from the start position?
    11·1 answer
  • You need 1 1/4 cups of sugar to make 20 cookies
    8·1 answer
  • A triangle has side lengths of 12, 15, and x. The value of x must ne greater than what?
    12·1 answer
  • 2x3 + 11x² + 20x+21 is divided by 2x7
    7·1 answer
  • Mary has sold 90 boxes of cookies. If her goal was to sell 120 boxes, what percentage of her goal has she sold?
    6·1 answer
  • Decide if the expressions in each pair are equivalent. Explain how you know.
    10·2 answers
  • Decrease $7500 by 7%<br>please help i need step by step explanation​
    11·2 answers
  • Records were kept at an airport concerning whether the flights leaving the airport were full or had available seats on the plane
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!