FInd the length of DB and CD. Please help!

Answer: x = 5 or x = -4

Step-by-step explanation:

Given equation

x² - x = 20

Subtract 20 on both sides

x² - x - 20 = 0

Cross factorize the equation

x          -5

x          4

Factorize the equation

(x - 5) (x + 4) = 0

[tex]\boxed{x=5}[/tex] or [tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

The line parallel to the given has the same slope:

Use the given point to find the y-intercept:

The line is:

Step-by-step explanation:

6x^ 2 - y^2 = 18

glad to help

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Step-by-step explanation:

Answer:

1:23 2:346 3:837

Step-by-step explanation:

it's the right answer

[tex]\large \mathfrak{Solution : }[/tex]

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.

i.e

therefore, the common difference of the above Arithmetic progression is -4 .

Answer:

a) 2

b) 38

c) –2

d) – 38

I hope I helped you^_^

Answer: You have the correct answer. It's choice C.

=========================================================

Work Shown:

[tex]3n^2+5 = -46\\\\3n^2 = -46-5\\\\3n^2 = -51\\\\n^2 = -51/3\\\\n^2 = -17\\\\n = \pm\sqrt{-17}\\\\n = \sqrt{-17} \ \text{ or } \ n = -\sqrt{-17}\\\\n = \sqrt{-1*17} \ \text{ or } \ n = -\sqrt{-1*17}\\\\n = \sqrt{-1}*\sqrt{17} \ \text{ or } \ n = -\sqrt{-1}*\sqrt{17}\\\\n = i\sqrt{17} \ \text{ or } \ n = -i\sqrt{17}\\\\[/tex]

where [tex]i= \sqrt{-1}[/tex] is the imaginary number.

The quadratic formula is another option you could do and you should get the same answers as above.

Answer:

C is the correct answer hope it helps

Answer:

10.8

Step-by-step explanation:

30％of 180

30/100 = 180

(180x30)/100

5400/100

54

20％ of 54

20/100 = 54

(54x20)/100

1080/100

10.8

Answer:

Step-by-step explanation:

41)

[tex]1+2+3+4+...+n=\dfrac{(n+1)*n}{2} \\\\2+4+6+...+2n=2*(1+2+3+4+...+n)=2*\dfrac{(n+1)*n}{2} =(n+1)*n\\\\[/tex]

42)

the square of the sum of the first n natural integers equals the sum of the cubes of these

Answer:

1 [tex]\frac{127}{200}[/tex]

Step-by-step explanation:

512/313

= 1.635

Leave 1 and convert 0.635 to fraction

[tex]\frac{635}{100}[/tex] into simplest form

= [tex]\frac{127}{200}[/tex]

= in mixed fraction

1 [tex]\frac{127}{200}[/tex]

When 512 is divided by 313 using repeated subtraction, the quotient is 1. The answer in mixed form is [tex]1\frac{199}{313}[/tex].

Repeated Subtraction is a method that subtracts the equal number of items from a group, also known as division. Using this method, the same number is subtracted repeatedly from another larger number until the remainder is zero, or smaller than the number being subtracted.

Dividend = 512

Divisor = 313

Subtract 313 from 512 repeatedly.

512 - 313 = 199

Here, 313 is subtracted once from 512 with remainder as 199.

Hence, the quotient = 1, remainder = 199.

Answer in mixed fraction:

[tex]\frac{Dividend}{Divisor} =Quotient \frac{Remainder}{Divisor} = 1\frac{199}{313}[/tex]

Learn more about repeated subtraction here

https://brainly.com/question/190780

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Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

Answer:

(SS,SG,GS,GG) Probability 0.25

Step-by-step explanation:

i don't know how to do this

Heyo!

So, first things first:

Based on the data shown, it appears that Cameron has 1/4 a chance to really recieve any combo of the following. Hence, he can get SS, SG, 6S, GG. So, each chance he picks, he has a 0.25 chance of probably recieving any of the combo. So, the outcome order is (SS, SG, GS, GG) and the probability for each is 0.25.

It hard to really describe how to write it out without an image, but I hope this helps! Pls, lmk if it does! Good luck!

Answer:

D

Step-by-step explanation:

opposite angles are equal

Answer:

4,320

Step-by-step explanation:

One gallon = 15,140 drips

One liter = 4,000 drips

The ingredients that should be used will be ( 50 / 9 ), ( 5 / 3 ), and ( 10 / 9 ).

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that three liquids are to be mixed in the ratio of 5:3:1.and their total is ten liters. The quantity of each part will be calculated as:-

Let the ratio is L₁ = 5x, L₂ = 3x and L₃ = x.

5x + 3x + x = 10

9x = 10

x = 10 / 9

The fraction of each part will be calculated as:-

5x = 5 x { 10 / 9 ) = 50 / 9

3x = 3 x ( 10 / 9 ) = 10 / 3

x = 10 / 9

Therefore, the ingredients that should be used will be ( 50 / 9 ), ( 5 / 3 ), and ( 10 / 9 ).

To know more about ratios and proportions follow

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answer

z=50

x=50

y=50

a=130

Answer:

C as in?

If you expand on the question and make it clear, I can help you!

Answer:

Accuracy is how close a measured value is to an accepted value. Precision is how close measurements are to one another. To make measurements, you have to evaluate both the accuracy and the precision to get a correct value.

Answer: 4 months

Step-by-step explanation:

$75 + $152X = 683

That's the equation you need to set up, with X being the number of months.

To solve, first subtract 75 from both sides.

$152x = 608

Then, divide each side by 152

X = 4

The answer is 4 months.

Answer:

sqrt (227) is greater than 15

Step-by-step explanation:

sqrt(227) = 15.066 which is larger than 15

Answer:

write in the correct form please!

Answer:

B. 14.8

Step-by-step explanation:

In order to find the average, you need to find the mean.

So you add up all the students: [tex]19+13+19+9+14+15=89[/tex].  Then you divide that number by the number of classes she has: [tex]89/6= 14.8333333...[/tex]Finally, you round to the nearest tenth place: 14.8.

[tex]\\ \sf\longmapsto 7(10-2^3)+8\div 2[/tex]

[tex]\\ \sf\longmapsto 7(10-8)+8\div 2[/tex]

[tex]\\ \sf\longmapsto 7(2)+8\div2[/tex]

[tex]\\ \sf\longmapsto 14+8\div 2[/tex]

[tex]\\ \sf\longmapsto 22\div 2[/tex]

[tex]\\ \sf\longmapsto 11[/tex]

Answer:

Solution,

x/4 = 12/6

or, x/4 = 2

or, x =2×4

or, x = 8

.:. x = 8

Answer:

[tex]y=3x-4[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

[tex]m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into [tex]y=3x+b[/tex]:

[tex]y=3x+(-4)\\y=3x-4[/tex]

I hope this helps!