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ad-work [718]
1 year ago
8

A _[blank 1]_ is a number whose only factors are 1 and itself. If a number has other factors besides 1 and itself, it is called

a _[blank 2]_. You can use divisibility rules or _[blank 3]_ to help you determine whether a number is prime or composite.
Match each blank with the option that correctly fills in that blank.

1. the sieve of Eratosthenes.
2.whole number.
3. composite number.
4.counting number.
5. the standard algorithm
6. prime number.
Mathematics
1 answer:
kykrilka [37]1 year ago
3 0

Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has  factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

We are required to fill the blank with appropriate options.

We have to fill "prime numbers" in the first blank.

We have to fill "composite numbers" in the second blank.

We have to fill "the sieve of Eratosthenes" in the third blank.

Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Learn more about prime numbers at brainly.com/question/145452

#SPJ1

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Find the distance between each pair of parallel lines with the guven equation y=2x+7 y=2x-3
Doss [256]

Answer:

10

Step-by-step explanation:

The y-intercept for each line is...

y=2x+7 (0, 7)

y=2x-3 (0, -3)

Note this is because...

y=mx+b

b represents the y-intercept

Using the distance formula...

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

d=\sqrt{(0-0)^2+(7-(-3))^2

d=\sqrt{0+(10)^2

d=\sqrt{0+100}

d=\sqrt{100}

d=10

4 0
2 years ago
Plzzz help me i am timed
fgiga [73]

2.74 + 3.5 = 6.24

Answer

6.24

------------

- 1.5 - (-7.7)

= - 1.5 + 7.7

= 6.2

Answer

6.2

6 0
3 years ago
Read 2 more answers
Billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet.
lubasha [3.4K]

Answer:

Step-by-step explanation:

area=πr^2

so we need to find the area then divide by 8

so

we know that diameter=2radius or diameter/2=radius so

12=diameter

12/2=radius=6

subsitute

area=π(6)^2

area=36π

divide 36π by 8

36π/8=18π/4=9π/2π=4.5π

area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get

4.5(3.14159)=area=14.1372 square feet or 14.14 square feet

3 0
3 years ago
Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution?
Solnce55 [7]
-5x + 5y = 40             -20x +20y =160               -5x + 5(8) = 40
4x + 3y = 24               20x +15y =120                -5x + 40 = 40
                                           35y = 280                   -5x =0
                                               y = 8                         x = 0

Hope you understood this
3 0
3 years ago
Read 2 more answers
How do you find the complete square of a math problem
dolphi86 [110]

Step-by-step explanation:

I am not sure what exactly you mean.

do you mean the complete square of an expression or

term ?

if so, then by multiplying this term by itself, and that means in general, every part is multiplied by every part and the part results are added considering the signs involved.

e.g.

squaring a+b

(a+b)(a+b) = a×a + a×b + b×a + b×b = a² + 2ab + b²

remember that multiplication and addition are commutative (you can flip the right and left sides with each other and still get the same result : a+b = b+a, a×b = b×a).

squaring a-b

(a-b)(a-b) = a×a + a×-b + -b×a + -b×-b = a² - 2ab + b²

remember that

+×- = -×+ = -

-×- = +

+×+ = +

a more complex example ?

squaring a-b+c

(a-b+c)(a-b+c) =

= a×a + a×-b + a×c + -b×a + -b×-b + -b×c + c×a + c×-b + c×c =

= a² - 2ab - 2bc + 2ac + b² + c²

6 0
2 years ago
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