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
defon
3 years ago
15

What are prime numbers

Mathematics
2 answers:
MAXImum [283]3 years ago
6 0

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.


For example, 5 is prime because 1 and 5 are its only positive integer factors,


Step-by-step explanation:


AfilCa [17]3 years ago
6 0

Answer:

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Step-by-step explanation:

Examples include 2,3,5,7 11,13,17,19

You might be interested in
You plan to make cakes. Each cake requires 1 1/4 cup of sugar. You have 7 1/3 cups of sugar. How many cakes can you make
vampirchik [111]
If u got all the cups it will be 3
4 0
3 years ago
X^4-x^2-42=0 <br>need to solve equation and find solution set
Ipatiy [6.2K]
That's a quadratic equation in x^2, which means we get an extra square root and \pm at the end.

x^4 - x^2 - 42 = 0

We factor,

(x^2 - 7)(x^2+6) = 0

x^2 = 7 \quad \textrm{or} \quad x^2 = -6

x = \pm \sqrt{7} \quad \textrm{or} \quad x = \pm i \sqrt{6}
5 0
2 years ago
Find x in each triangle
Nimfa-mama [501]

Answer:

x=20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

21 ^2 + x^2 = 29^2

441+x^2 =841

Subtract 441 from each side

x^2 = 841-441

x^2 = 400

Take the square root of each side

sqrt(x^2) = sqrt(400)

x = 20

4 0
3 years ago
Read 2 more answers
PROMPT:
pentagon [3]
For this answer let's pick the Fish Pond.

QUESTION: <span>What do you know? 
We know that the total area of the rectangular patio is 24 square feet. The rectangular fish pond that we want to build should have the length that is twice the width. We also need a 1-foot border around the pond.

The total area of the patio is represented by </span>2 x^{2} +6x+4 where x is the width of the fish pond.

QUESTION: What do you want to find out? 
We can answer this question by examining what we have been given (we have answered this in the previous question). Since we only have one variable in the equation and this is the width of the fish pond, then this is the only thing that we need to find out. The length will just follow after the width is solved. (Basically, we are concerned with the dimensions of our project.)

QUESTION: What kind of answer do you expect? 
Since we are only expecting to solve for the dimensions, then we should expect two numbers which would represent the width and the length. Through the polynomial, we can get the width of our project, then the length would just be twice our answer for the width.

1. To set our polynomial equation equal to the total area of our patio, we just write the equation on the left side and the total area of the patio on the right. We recall the equation that we gave in the first question above as well as the patio's area.

2x^{2} +6x+4=24

2. For this item, we just simply negate the constant term on the right side by subtracting the same number to both sides. Since our constant term is 24, we subtract 24 from the polynomial as well as the term on the right side.

2x^{2} +6x+4-24=24-24
2x^{2} +6x-20=0

3. In this item we are only tasked to find the GCF of the trinomial and factor it out of the left side of the equation. The GCF just means the common number or variable in all terms. Upon examining, we can see that the only common factor of the terms is 2 (since all terms are divisible by 2), thus this will be the GCF and we will factor this one out.

2(x^{2} +3x-10)=0

4. To factor the polynomial completely, we just figure out the possible factors of the quadratic equation. You can do this by trying out all factors of -10 that will have a sum of 3 (since -10 is the constant and 3 is the coefficient of x). Upon examining you should end up with:

2(x+5)(x-2)=0 (Notice that 5 and -2 are factors of -10 and their sum is 3).

5. The rule stated on this item just means that we can equate each individual factor to zero (except for the constant term) to find out the possible values of x. That means that we can solve for x by using the equations x+5=0 and x-2=0.

x+5=0
x=-5

x-2=0
x=2

6. For this item, we just do simple substitutions to the equation 2x^{2} +6x-20=0 to verify whether the values we got in question 5 is really a solution to the equation. The values of x that we got are -5 and 2 so we substitute these one at a time.

2(-5)^{2} +6(-5)-20=0
50-30-20=0
0=0

2(2)^{2} +6(2)-20=0
8+12-20=0
0=0

Both values of x make the left side equal to zero therefore both are solutions to the equation.

7. We can tell the dimensions of the project by looking at the values that we got for x, since we assumed x to be the width of our project. The fact that we got two values for x won't be a problem since one of these values is negative. There is no negative measurement/width so we can just ignore this negative value (-5). Thus, the width for our project would be 2 and the length would be twice this value which is 4.

Width = 2 feet
Length = 4 feet

8. For this item, we just illustrate the dimensions of our project and add a 1-foot border (as we are told initially). You can see this illustration in the picture I attached below. 

Since we have an extra 1 foot in every side, that means we need to add 2 feet to both the width and the length. Therefore, our width now is 4 while our length is 6.

Multiplying these numbers to verify the area, we get 24 square feet which is exactly the area of the patio.

6 0
3 years ago
Read 2 more answers
Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
maria [59]

ANSWER

8π ft

EXPLANATION

The circumference of a circle is calculated using the formula C=πd.

Where d=8 is the diameter of the circle.

We substitute d=8 into the formula to obtain,

C=8π ft.

Because we are looking for the exact circumference, we leave the answer in terms of π.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Round 754 to the nearest ten
    12·1 answer
  • The sides of a rectangle are proportional to each other in a 2/3 ratio. Which of the following could be the ratio of a rectangle
    11·1 answer
  • A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% percent are yellow. Of the remaining key ch
    13·1 answer
  • Can someone help me with this one
    12·1 answer
  • Please help!! will make branliest!!
    11·1 answer
  • SOME ONE HELP ME WILL GIVE BRAINLIEST
    13·1 answer
  • What does 6 - x = 9??
    5·1 answer
  • Can someone help me the four options would be 34 degrees btw
    9·1 answer
  • Please help me out with this guys
    9·1 answer
  • HELP!:<br><br> x^2 + 6x + 9 = ?<br><br> This is a factorizing question!! I need help, quickly!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!