If the first term of an A.P is equal to one half of the common difference d, find the eight term of the A. P.

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:

7-(-14)

7+14=21

Step-by-step explanation:

- and -  = +

Answer:

1. Factor

2. Multiply

3. Division

Step-by-step explanation:

Answer:

if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah

like if you have a math question just go to ask question you and someone will help

Answer:

60x^4y^6

Step-by-step explanation:

(5xy^2)×(12x^3y^4)

=60x^(1+3)y^(2+4)

=60x^4y^6

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.

To learn more about whole number refer to:

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#SPJ2

Answer:

hello, your name similarty to my name

Step-by-step explanation:

put 6 from x and to find function

f(6)= 72-42-6=24

Answer:

second one Step-by-step explanation:

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:

please answer me binary number multiply 11010 multiply 101

Answer:

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

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:

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:

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

I hope I helped you^_^

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.

Read more;

https://brainly.com/question/13370039

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:

5.25inches

Step-by-step explanation:

difference in height = 68.5-63.25 =5.25

Height of Mario Hm = 68.5 inches

Height of Tyler Ht = 63.25 inches

Evidently, Hm > Ht

Now difference = Hm - Ht = 68.5 - 63.25

= 5.25 inches

Answer: Mario is 5.25 inches taller than Tyler.

Answer:

A=0

B=1

Step-by-step explanation:

Just did it (:

Answer: A = 0, and B = 1.

Step-by-step explanation: I put 0, and 1, and it was the perfect answer.

Answer:

1111111111111111111111111111111111111111

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

the slope is the same and the intercepts are different

Answer:

It is (x - 7)(x + 7)

Step-by-step explanation:

[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]

from the "difference of two squares"

[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]

take;

a » x

b » 7

substitute:

[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]

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:

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:

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:

3 7/20

Step-by-step explanation:

9/20 + 2 9/10 = 9/20 + 2 18/20

= 2 + 27/20

= 2 + 1 7/20

= 3 7/20

Hello!

✥ Answer ✥

9/20 + 2 9/10 = 67/20

❀ Step-by-step explanation: ❀

1. Calculate:

9/20 + 2 9/10

9/20 + 29/10 (We amplify by 2)

9/20 + 58/20

67/20

Good luck!

Hi! I'm happy to help!

To solve this, we first need to look at the perimeter equation:

P=2L+2W

We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:

56=2x+(2(x-2))

Let's simplify what the width is by multiplying:

56=2x+2x-4

Now, let's combine our 2xs

56=4x-4

Now, we just need to solve for x in order to find our length and width.

First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:

56=4x-4

+4      +4

60=4x

Now, all we have to do is divide both sides by 4 and x will be fully isolated:

60=4x

÷4  ÷4

15=x

Now that we know x, let's plug this into our previous equations:

L=x=15

L=15

W=x-2=15-2=13

W=13

To verify our answers, we can plug this into our perimeter equation:

56=2(15)+2(13)

56=30+36

56=56

After double checking our answers, we know that our length is 15 and our width is 13.

I hope this was helpful, keep learning! :D

Answer:

$18

Step-by-step explanation:

3%=0.03

$150*0.03=$4.50

$4.50*4=$18