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
pshichka [43]
3 years ago
6

Using algebraic methods, prove that the sum of 2 consecutive odd integers is always a multiple of 4.

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

Answer:

This statement will always be true practically.

Step-by-step explanation:

Let the odd number be:

=2x - 1

So the next odd will be:

= 2x + 1

Now for getting sum of two odd numbers we will add them:

= (2x -1)+(2x + 1)

Opening brackets:

= 2x -1 +2x +1

A dding like terms, Both 1's  will be cancelled out

= 4x

Now this proves that adding two odd numbers will deduce to a result which will always a multiple of 4

Hence proved.

I hope it will help you!

You might be interested in
brett signed up for 2 tennis lessons each month from January through May. How many lessons did he sign up for in all
Vesnalui [34]
He signed up for 10 lessons
8 0
3 years ago
Read 2 more answers
Geomtry question pls help !!!
adell [148]

Answer:

C, 4.

Step-by-step explanation:

Im not sure how to explain it, i just know that it's C! :))

8 0
3 years ago
Ms. Perry bought a plant and is tracking the height of the plant each week. If y represents the height of the plant, in inches,
VMariaS [17]

Answer:

When Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

Step-by-step explanation:

The rate of change, or slope, represents the rate at which the height of the plant increased per week.

Use the points (2 , 10) and (4 , 15) from the table to calculate the rate of change, also known as the slope.

y2 - y1 = 15 inches-10 inches

x2 - x1     4 weeks-2 weeks

             2.5 inches/1 week or 2.5 inches per week

So, the rate of change is 2.5 inches per week.

Now, find the y-intercept, b, by using the equation y = mx + b, where m is the slope of the line represented by the given table of values and (x , y) is any point on the line.

Substitute m = 2.5 and (x , y) = (2 , 10) in the above equation to find out the initial height of the plant.

y=mx+b

10=2.5 (2) + b

5=b or b=5

So, the initial height of the plant was 5 inches.

Therefore, the situation represented by the table is when Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

5 0
3 years ago
What’s the answer????
Bond [772]
First option. The inequality can be split into two separate inequalities.
6 0
3 years ago
What Is The Probability That The Spinner Will Land On Either Yellow (Y) Or Green (G)?
Sholpan [36]
2/3.
the spinner has 4/6 parts that are y and g, and that simplifies down to 2/3
4 0
2 years ago
Read 2 more answers
Other questions:
  • TELL ME THE POINTS TO GRAPH TO BE MARKED BRAINLIEST
    15·1 answer
  • Work out plz I’ll give you brainliest
    12·1 answer
  • Solve for x and y. they both have to be the same number for each equation
    12·1 answer
  • Answer for 30points!!!!
    9·2 answers
  • Owen creates this model to determine the product of two decimals. Which
    12·1 answer
  • A stick is 5 m long. A rope is 12 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each
    11·2 answers
  • Helpppppp me confused
    8·1 answer
  • 135x7 in standered form
    6·1 answer
  • (-3,1 (2,-2) find the slop of the line​
    8·1 answer
  • Answer for brainliest
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!