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
Evgen [1.6K]
3 years ago
7

(b) Given that p = 6n + 1, show that p2 + 2 is divisible by 3.

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

Answer:

See below.

Step-by-step explanation:

p^2 + 2

= (6n + 1)^2 + 2

= 36n^2 + 12n + 1 + 2

=  36n^3 + 12n + 3

= 3(12n^2 + 4n + 1).

- which is divisible by 3.

You might be interested in
I need to find the experimental probability to this question in a fraction
Alex73 [517]

Answer:

Whats the question?

Step-by-step explanation:

Experimental probabilities are written as:

(favorable outcomes / total outcomes)

You can input the numbers yourself or clarify so I can give you more specific help!

5 0
3 years ago
Which line segments are diameters of circle E?
sertanlavr [38]
A diameter of a circle has to pass through the centre of the circle
The lines that pass through the centre are BD and AC
8 0
4 years ago
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the l
rewona [7]

Answer:

c = 730cm

Step-by-step explanation:

The first thing we would do is to draw the diagram using th given information.

Find attached the diagram.

a = 714 cm

the measure of angle A = 78°

To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse

sin78 = opposite/hypotenuse

sin 78 = 714/c

c = 714/sin 78 = 714/0.9781

c= 729.99

c≅ 730 cm ( nearest cm)

7 0
4 years ago
If 2/3 of a cup of pancake mix makes 6 pancakes. How much will 3 1/3 cups of pancake mix, how many pancake does it make?
sergey [27]
31/3: 2/3= 5
5X6=30
All you have to do is divide 31/3 by 2/3 and it equals 5 then 5X6=30
8 0
3 years ago
What is 1 5/8 ÷ (−1 3/5)
Triss [41]

Answer:

-1 1/64

Step-by-step explanation:

First, turn these mixed fractions into normal fractions:

1 5/8

5/8 + 8/8 = 13/8

-1 3/5

-3/5 + -5/5 = -8/5

13/8 / -8/5

Then you can use the KCF (keep, change, flip) method to solve:

13/8 / -8/5

13/8 x -5/8 = -65/64

-1 1/64

-1 1/64 is your answer

Hope this helps!

4 0
3 years ago
Other questions:
  • Plz help me
    7·1 answer
  • Slope of a line that passes through points (1,7) and (3,3)
    10·1 answer
  • 540 less than the product of 54 and a number is 918
    10·1 answer
  • Translate this sentence into an equation.
    5·2 answers
  • Annette is surveying people in the city about their interests in a new shopping mall.She found that 180 people,or 37.5% of those
    5·1 answer
  • What is the meaning of a projection of one vector to another?
    11·1 answer
  • Graph y= -2x+7. Help please
    12·1 answer
  • I seriously cannot standddd those ppl who say "PLLEEEASSSSSSEEEEE HELLPPPPPP MEEEEE IT'S DUE IN 2 MINUTES"
    7·1 answer
  • Solve 4 h = 92 for h
    5·2 answers
  • Choose the ordered pair that is a solution of 5x - 3y = -6.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!