hi how to solve this question n(n+1)2
; where n=9


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Here we need to see which axioms or properties are used in each case.

A: ab²×0 = 0

Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.

B: (7 + 5) + 1 = 7 + (5 + 1)

This is the associative property of addition, which says that we can perform the addition in any order we want.

C:  6 = 6

This is the reflexive property of equality, which says that every number is equal to itself.

D: 7(x – 3) = 7x - 21

This is the distributive property, which says that:

C*(A + B) = C*A + C*B

We can see that if we apply it to the left side we get:

7(x - 3)  = 7x - 7*3 = 7x - 21

E:  x + (-x) = 0

This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:

N + A  = 0

Particularly, in the real set, we can see that A = -N

G: (a + b) + 0 = 0 + (a + b)

Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:

A + B = B + A

So the elements in the sum can commute.

H: if x = -1, and -1 = z, then x = z

This is the transitive property, we can apply it in the next way:

x = -1 = z

then x = z

So if both variables are equal to the same number, then the variables are equal.

I: 4x×1 = 4x

This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:

X*A  =X

Particularly, A = 1.

X*1 = X.

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Answer:

Step-by-step explanation: I also need help

Answer:

k = 14

Step-by-step explanation:

k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable

Answer:

I'm pretty sure this is the correct answer hope it helps :)

Answer:

Step-by-step explanation:

if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.

Step-by-step explanation:

lena=45/5=9 laps per min

ann= 40/4=10 laps per min

Carmen=56/8= 7 laps per min

the fastest = ANN

Answer:

6

Step-by-step explanation:

Use PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Problem: 17 - {19 - 2(1 + 3)}

Step 1:

17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}

Step 2:

17 - {19 - 2 x 4} = 17 - {19 - 8}

Step 3:

17 - {19 - 8} = 17 - 11

Step 4:

17 - 11 = 6

If this is correct please give me brainliest.

Answer:

10

Step-by-step explanation:

geometric mean theorem :

h = sqrt(pq)

p, q being the segments on the Hypotenuse of the right-angled triangle.

so, x = sqrt(9×10) = 3×sqrt(10)

Answer:

yes, 31

Step-by-step explanation:

just switch the equation around:

24+ 7 = 31

and then back again:

31- 7= 24

Answer:

3

Step-by-step explanation:

p-(9-(m+q))

5-(9-(4+3))

=5-(9-7)

=5-2

=3

Answer:

what

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²x + cos²x  = 1 then

sin²x = 1 - cos²x

sin x = ± [tex]\sqrt{1-cos^2x}[/tex]

Given cos θ = [tex]\frac{2}{3}[/tex] , then

sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]

Also

tanθ = [tex]\frac{sin0}{cos0}[/tex]

       = [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]

       = [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]

Answer:

The product of 500 and any of these number will contain 2zeros

Answer:

81,75

Step-by-step explanation:

you will use BODMAD

Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer

Answer:

When the probability of something happening is 4/4, it means that the probability of that thing happening is 1

When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.

Answer:

1.6

Step-by-step explanation:

an integer is defined as any positive or negative whole number.

1.6=16/10=8/5 . This is a fraction

0 is a whole number

8 is a whole number

-15 is a whole number

pls mark as brainliest. Thanks

Answer:

1. Factor

2. Multiply

3. Division

Step-by-step explanation:

Step-by-step explanation:

a^2 + b^2 = c^2

(x+2)^2 + 4x^2 = (3x+4)^2

(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)

x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16

5x^2 + 4x + 4 = 9x^2 + 24x + 16

-4x^2 - 20x - 12 = 0

now we can use the quadratic formula

(-b±√(b²-4ac))/(2a)

I can't type all this so

.....

x = -0.697224362 or -4.302775638

AB can't be negative so it's the first one

so it's equals to 1.302775638

Answer:

-5

Step-by-step explanation:

(-5)(-5)(-5)=-125

Given the expression:

[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]

Definition:

[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]

First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.

[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]

Because if (-5)^2 = 25 then 25×(-5) again will be -125.

Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,

[tex] \displaystyle \large \boxed{ - 5}[/tex]

Answer:

please answer me binary number multiply 11010 multiply 101

Answer:

Step-by-step explanation:

This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.

Answer:

C

Step-by-step explanation:

this is the answer since it involves a minus sign

Answer:

0

Step-by-step explanation:

the slope is the same and the intercepts are different

Answer:

h is an odd funtion

Step-by-step explanation:

this is because h(-x)=h(x)

Answer: A

Step-by-step explanation:

A sum of odd functions is a odd function

Proof:

[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]

Answer:

y = - 4x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 4y = 12 ( subtract x from both sides )

- 4y = - x + 12 ( divide terms by - 4 )

y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute 2, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 4x + 11 ← equation of perpendicular line

The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).

By rearranging x - 4y = 12 in the form, y = mx + c;

we have; y = (x/4) - 3

The slope, m1 from here is (1/4)

The product of the slopes of two perpendicular lines is;

Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;

By cross product; we have;

y + 4x = 11.

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Answer:

$2,295

Step-by-step explanation:

Meghan = x

Crystal = x + 135

[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]

[tex]8 \times (x + 135) = 3x[/tex]

[tex]8x + 1.080 = 3x[/tex]

[tex]1.080 = x[/tex]

Meghan got $1,080

[tex]1.080 + 135 = 1.215[/tex]

Crystal got $1,215

[tex]1.080 + 1.215 = 2.295[/tex]

$2,295 money was shared.

Answer:

1111111111111111111111111111111111111111

Step-by-step explanation:

7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.

Answer:

13

Step-by-step explanation:

f(x) = 2x - 3,

f(4) = 2(4) - 3,

f(4) = 5

g(x) = 2x^2 + 5x + 1,

g(1) = 2(1)^2 + 5(1) + 1,

g(1) = 2 + 5 + 1,

g(1) = 8

f(4) + g(1) =

5 + 8 =

13

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]

I hope I helped you^_^

Answer:

B. (-12)(-12) = 144

Step-by-step explanation:

A. (-11)9 = 99  Negative * positive = negative

B. (-12)(-12) = 144  negative * negative = positive

C. 17 x 3 = -51  positive * positive = positive

D. 25(-5) = 125  positive* negative = negative

Answer:

B. (-12)(-12) = 144

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a whole number is a number with no fraction

4 is a whole number.

Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.

A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.

Hence, 4 is a whole number.

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