The nearest star to us, Alpha Centauri, is 4.3 light years away. A light year is 5, 865,696,000,000 miles. How far away is Alpha Centauri in miles? Express your a swer in scientific notation?

As the length of the sides AD ≠ BC the given quadrilateral ABCD is not a parallelogram.

To prove that the given lines are parallel we have to determine their slope if the slope if equal then the lines are parallell.

We know that a quadrilateral is a parallelogram when opposite lines are of the same length and opposite lines are parallel to each other.

Given a quadrilateral, ABCD has coordinates A(−6,−1), B(−5,2), C(−1,−5), and D (0,−2).

∴ The quadrilateral ABCD t be a parallelogram length of AB = DC and length of AD = BC.

We know the distance formula is [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

So, lenght of AB = [tex]\sqrt{ (-5+6)^2 + (2 + 1)^2[/tex].

AB = [tex]\sqrt{ 1 + 9}[/tex].

AB = [tex]\sqrt{10}[/tex] units.

Lenght of DC = [tex]\sqrt{(0+1)^2 + (-2+5)^2}[/tex].

DC = [tex]\sqrt{10}[/tex] units.

Now length of AD = [tex]\sqrt{0+6)^2 + (-2+1)^2[/tex].

AD = [tex]\sqrt{ 37}[/tex] units.

Length of BC = [tex]\sqrt{(-1+5)^2 + (-5+2)^2[/tex].

BC = [tex]\sqrt{25}[/tex].

BC = 5 units.

As BC ≠ AD therefore quadrilateral ABCD is not a parallelogram.

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The equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A

The index form of a number can be defined as the number written as an exponential expression.

It is expressed as a single number raised to another number.

Index forms are also called standard forms or scientific notations.

Index notation is also a way of representing variables or constants multiplied by themselves a number of times.

Equivalent expressions are expression having same solution but different  arrangement of variables.

Given the expression;

(3x^−4y5)^−2

Multiply the exponents

x^8/ 9y10^

Thus, the equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A

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Answer: 12e(et+OT)

Step-by-step explanation:

Answer:

Hope it helps <3

Answer:

-3°F

Step-by-step explanation:

WOW

do 3-6 ok which is -3°F

when testing for ODD or EVEN behaviour in a function, let's recall that we check what would the original function be if we were to use the argument -x in it?  well, hell let's do that and check what's cooking.

keeping in mind that if EVEN, we'll get back the original function, if ODD well get back a negative version of the original function.

[tex]\stackrel{original}{f(x)=7x^3-5x} \\\\[-0.35em] ~\dotfill\\\\ f(~-x~)=7(-x)^3-5(-x)\implies f(~-x~)=7(-x)(-x)(-x)-5(-x) \\\\\\ f(~-x~)=7(-1)(x)(x)(x)+5x\implies f(~-x~)=-7x^3+5x \\\\\\ f(~-x~)~~ = ~~-\underset{f(x)}{(7x^3-5x)}\qquad \leftarrow \qquad \stackrel{\textit{\LARGE odd}}{\textit{negative version of the original}}[/tex]

M x N simplified is M x N.

Answer:

MN

Step-by-step explanation:

Answer:240

Step-by-step explanation:

20 times 4 =80

80 times 3 = 240

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta = 100\\ s=28 \end{cases}\implies 28=\cfrac{(100)\pi r}{180}\implies 28=\cfrac{5\pi r}{9} \\\\\\ 252=5\pi r\implies \cfrac{252}{5\pi }=r\implies 16.04\approx r[/tex]

Answer: He does have enough crates to ship out the avocados.

Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.

Gail height increased by 24 is 50 is g + 24 = 50

Before we begin, note the following:

a increased by b means that we will add a and b, In other words, the expression would be a + b

Now, for our problem:

We have "g" as Gail's height.

The given information is as follows:

i. Gail's height increased by 24 means that we will add g and 24.

ii. Gail's height increased by 24 is 50 means the increased height is equal to 50.

Hence, Based on the above, the expression is: g + 24 = 50

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Answer:

5023.876 kilograms

Step-by-step explanation:

(39.82 kg) + (6.05600 kg) + (4978 kg) =

5023.876 kilograms

I hope this helped :)

Answer:

y = 6h  h = hour

Step-by-step explanation:

The statement "Is $24 Dave’s after 3 weeks;$52 saved after 7 weeks equivalent" is false

This is further explained below.

Generally, Expressions are considered to be equivalent if their function is the same despite their appearance being distinct.

If two algebraic expressions are equivalent to one another, then those two expressions will provide the same result when we use the same value for the variable in each expression.

In conclusion,

Firstly, we consider what Dave saves in one week will be,

Since $24 Dave’s after 3 weeks we have

One week =24/3

one week=$8

Therefore

7 weeks =$56

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When the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer the scale is 1 inches : 6 inches.

It should be noted that from the information, the image of the book is shown on the website as 1.5 inches and it's 3 inches tall on the monitor of the computer.

Therefore, the actual book is 9 inches wide, the scale factor that was used till be:

= Original width / New width

= 9 / 1.5.

= 6.

Therefore the scale factor that was used is 1 inches : 6 inches.

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an image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. What scale is being used?

Answer:

angles in radians

Step-by-step explanation:

look

The fraction of the fabric is 7 3/24m.

It should be noted that from the information, Flor bought different fractions of fabric and we want to calculate the total.

Therefore the total fractions will be:

= 2 5/8 + 1 1/3 + 3 1/6

= 2 15/24 + 1 8/24 + 3 4 / 24

= 6 27 / 24.

= 7 3/24

The total fraction is 7 3/24 m.

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Answer:

Step-by-step explanation:

To solve the slop, you need to do the rise/run formula

y2-y1/x2-x1

3-0/2-(-2)

3-0/2+2=3/4

The sum to infinity of the terms of this sequence is -36/5

The given parameters are

T3 = -1/6

T6 = -1/1296

The nth term of a geometric sequence is

Tn = a * r^(n-1)

So, we have

T3 = ar^2

T6 = ar^5

Divide both equations

T6/T3 = ar^5/ar^2

Evaluate the quotient

T6/T3 = r^3

Substitute T3 = -1/6 and T6 = -1/1296 in T6/T3 = r^3

(-1/1296)/(-1/6) = r^3

Evaluate the quotient

1/216 = r^3

Take the cube root of both sides

r =1/6

Substitute r =1/6 in T3 = ar^2

T3 = a(1/6)^2

This gives

T3 = a/36

Substitute T3 = -1/6 in T3 = a/36

a/36 = -1/6

This gives

a = -6

The sum to infinity of the terms of this sequence is

S = a/(1 - r)

This gives

S = -6/(1 - 1/6)

This gives

S = -6/(5/6)

Evaluate

S = -36/5

Hence, the sum to infinity of the terms of this sequence is -36/5

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price of green fabric = $4 and the price of blue fabric is $6.

It should be noted that LaTanya buys 5 yards of blue fabric and 8 yards of green fabric and the blue fabric costs $2 more per yard than the green fabric.

Let the price of the green fabric = x

Price of blue fabric = x + 2

Therefore, the expression will be:

5(x + 2) + 8(x) = 62

5x + 10 + 8x = 62

13x = 62 - 10

13x = 52

Divide

x = 52/13

x = 4

The price of green fabric = $4

The price of blue fabric = $4 + $2 = $6

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Answer:

its 40° because they're linear pairs

Step-by-step explanation:

both angle 1 and 3 are 40°

Answer:

The answer is 40°

Step-by-step explanation:

Angles that are opposite of each other are always equal.

Answer:

y = 150

Step-by-step explanation:

As the graph is a straight line, there is no need for

Hope this helps, I would appreciate it if u could mark me as the brainliest. Thks

Answer:

Answer is 36.8

Step-by-step explanation:

There's something wrong in your question... Because...

5x-2=182

5x=182+2

5x=184

5x/5=184/5

X=36.8

The absolute values solved for x are:

Absolute value of a number can be defined as the distance of the number from zero on the number lines.

It is also said to be the value of a number irrespective of its sign.

The absolute value of a number must take a positive sign.

It is denoted with the symbol, '| |'

Given the equations;

a. ) |3-|2-x||=6

Take the absolute value

3 + 2 + x = 6

collect like terms

x = 6 - 5

x = 1

b) |3x-2|+x>= 4

Take absolute values

3x + 2 + x = 4

collect like terms

4x = 2

make 'x' the subject

x = 1/ 2

c) ||2x-1|-2|>3

Take absolute values

2x + 1 + 2 > 3

collect like terms

2x > 3 - 3

x > 0

Thus, the absolute values solved for x are x = 1, x = 1/2 and x> 0

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Answer:

The answer is b. x = -4

The answer is f(6)=5

Step-by-step explanation:

(6*2/2)-5=5

Answer:

The larger figures are 3 times larger than the smaller figures.

Scale factor 3?

Step-by-step explanation:

The line which is parallel to the given line y = -2x/3 + 1 is 2x+3y=-18, there slopes are equal

Given data

line y = -2x/3 + 1

The equation of a line is represented as y = mx + c where m represents the slope. The unique feature of parallel line is that the slopes are equal.

Hence we find the line that has same value of m which is the slope

using the second option: 2x+3y=-18

2x + 3y = -18

3y = -2x - 18

y = -2x/3 - 6

the slope here is m = -2/3 which is equal to the slope of the given equation and hence the correct option

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The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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Answer:

2.9 over 1

Step-by-step explanation: