Solve the equation, 13|x−8|=10. Select each correct answer. Responses x=−30 x equals negative 30 x=−22 x equals negative 22 x=103 x equals 10 over 3 x = 8 x, = 8 x = 30 x, = 30 x = 38

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 number of years it would take to double at 6% compounded annually is 11.55 years

The number of years it would take to double at 10.2% compounded annually is 6.8 years

When an amount earns at a compound interest, it means that the investment increases at an exponential rate. This means that the rate of growth in a new compounding period would be greater than the rate of growth at the previous compounding period.

When an amount is compounded monthly, it means that both the amount invested and the interest that has already been earned increases in value once a month, twelves times a year.

The formula that can be used to determine the number of years it would take the investment to double is:

Number of years it would take to double = In (FV / PV) / r

Where:

r = 6/12 = 0.5%

r = 10.2 /12 = 0.85%

Number of years it would take to double = In2 / 0.005 = 138.629 months

138.629 months / 12 = 11.55 years

Number of years it would take to double = In2 / 0.0085 = 81.547 months

81.547 months / 12 = 6.8 years

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Answer:

112.5 días

Step-by-step explanation:

450 vacas (45 días/220 vacas) = 112.5 días

The answer is f(6)=5

Step-by-step explanation:

(6*2/2)-5=5

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: 12e(et+OT)

Step-by-step explanation:

Answer:

Hope it helps <3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-3°F

Step-by-step explanation:

WOW

do 3-6 ok which is -3°F

[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]

The parent function behind f(x) = 1 / (x - 4) - 3 is g(x) = 1 / x, which is modified by horizontal and vertical translations.

In this problem we find an expression that is shown as the image of a previous one, whose procedure of transformation must be inferred and explained. A direct inspection let us suppose that parent function might be g(x) = 1 / x and that the resulting expression is the result of a sequence of rigid transformations.

Let suppose that g(x) = 1 / x, then we apply the following two rigid transformations:

Horizontal translation

g'(x) = 1 / (x - 4)

Vertical translation

f(x) = 1 / (x - 4) - 3

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Answer:

y = 6h  h = hour

Step-by-step explanation:

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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The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

63 = x + (x - 2) + 1/2x

63 = x + x - 2 + 1/2x

63 = 2 1/2x - 2

63 + 2 = 2 1/2x

65 = 5/2x

x = 65 ÷ 5/2

x = 65 × 2/5

= 130/5

x = 26

Recall,

Alan's age = x years

= 26 years

Nate's age = (x - 2) years

= (26 - 2)

= 24 years

Kai's age = 1/2x

= 1/2(26)

= 13 years

Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

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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:

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

Scale factor 3?

Step-by-step explanation:

Answer:

$166.75

Step-by-step explanation:

look at the photo.

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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:

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

Answer:

The answer is b. x = -4

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

Answer:

mr walker sorted the dataset and got

Step-by-step explanation:

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.

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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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]

Answer:

y = 150

Step-by-step explanation:

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

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M x N simplified is M x N.

Answer:

MN

Step-by-step explanation:

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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If the loan offers no payments for the first 5 months, the amount owed by Dillion when he begins making the payments is $2,441.03

What is the effective monthly interest rate on the loan?

The effective monthly interest rate on the loan is determined as the annual percentage rate(APR) of 6.6% divided by 12 months since there are 12 months in a year

effective monthly interest=6.6%/12

effective monthly interest=0.0055

FV=PV*(1+r)^N

FV=the balance owed after 5 months=unknown

PV=the loan amount=$2375

r=effectively monthly interest rate=0.0055

N=number of months that have passed since the loan was taken=5

FV=$2375*(1+0.0055)^5

FV=$2,441.03

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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 :)

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:240

Step-by-step explanation:

20 times 4 =80

80 times 3 = 240