What is the total surface area for the figure shown below?
11
8
17
14
10

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{{x}^{2} - 6x + 9 }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{{x}^{2} - 3x - 3x+ 9 }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{{x(}^{} x- 3) - 3(x - 3) }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{( x- 3) (x - 3) }[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{( x- 3) {}^{2} }[/tex]

[tex]\qquad \sf  \dashrightarrow \: {( x- 3) {}^{} }[/tex]

I hope you understood the procedure ~ let me know if you have doubts ~

Answered by James ~ ( Teeny fr )

Answer:

option B is correct.

Option A                                                 Option B                                                    

6x = 66                                                    5x = 30  

x = 66/6                                                    x = 30/5

x = 11                                                         x = 6

Option C                                                 Option D

6x = 1                                                       7x + 2 = 15

x = 1/6                                                      7x = 15 - 2

x = [tex]\sf \sf \frac{1}{6}[/tex]                                                          x = [tex]\sf \frac{13}{7}[/tex]

Answer:

88189987766.9087 because x stands for 1000

Answer:

[tex]\frac{80}{81}[/tex]

Step-by-step explanation:

The cross numerator and denominator of 76 can be crossed out leaving out simply.

[tex]\frac{76}{81} *\frac{80}{76}\\\frac{1}{81} *\frac{80}{1}=\frac{80}{81}[/tex]

Answer:

I believe the answer is 42 books.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The function represented by the graph is

y = { x² + 6 , x < 3

        -x + 6 , x ≥ 3}

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

According to the graph

When x < 3 then  y =  + 6

and, at x = 3 we get an open interval.

So, y = x² + 6 is valid for x < 3 not at x =3.

Also , y = -x + 6 is valid for x ≥ 3 and we get a close interval.

Thus, the function represented by the graph is

y = { x² + 6 , x < 3

        -x + 6 , x ≥ 3}

learn more about functions here:

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The number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is n!. Here, n is the number of objects.

Dr. Orchid has 9 paintings she wants to hang side by side on her wall.

There are total 9 paintings. So the number of arrangement of these painting is,

[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]

There are total 9 paintings, in which Dr. Orchid wants to display 4 of the paintings.  Thus, the number of ways can she choose the paintings she wishes to display is,

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{4!5!}\\^9C_4=126[/tex]

Hence, number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.

Learn more about the arrangement here;

https://brainly.com/question/6032811

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Answer:

2:3:4=40,000:60,000:80,000

Step-by-step explanation:

plus 2+3+4

thats 9

divide 9 by total amount which is what ratio 1 got =20,000

so now you multiple each ratio with 20,000 to get the ratio.

You can arrange them in 120 different ways

The easiest way to do this is using factorials!

We are given 5 CDs

We are able to the factorial of 5

It would look like this 5!

5! = 5x4x3x2x1

This equals 120

Answer:

[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]

Step-by-step explanation:

the answer is :- .

[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]

Answer:

y=-4(x+2)^2+7

Step-by-step explanation:

Answer:

It's called the Natural Logarithm because so many processes in nature can be described mathematically using it.

For example:

1) The population of a colony of rabbits that reproduce at a constant rate

2) The decay rate of a charged capacitor

3) The decay rate of a radioactive isotope

4) The rate at which your money will grow if you apply an interest rate continuously over a period of time.

5) The population of seeds in a sun flower

6) etc.

Answer:

1435

Step-by-step explanation:

makatulong ba itong anser ko

Answer:

8.

Step-by-step explanation:

I think that's the right answer. Please let me know if it isn't

8 is the correct answer the lovely person who owns this question corrected my mistake. Thank You by the way.

Answer:

True, True, False

Step-by-step explanation:

16.284 to whole is 16

16.284 to tenth is 16.3

16.284 to hundredth is 16.28

Answer:

C

27g=x miles on a full tank of gas

27(16)=x

x=432 miles

Step-by-step explanation:

The possible coordinates that could be the other endpoints of a line that has a length of 4 units are: (6, 2),  (10, -2), (2, -2), and (6, -6).

On a coordinate plane, the distance between two points is the number of units in between the two points lying on the same axis.

Let's find the distance between (6, -2) and eaxh of the given endpoints tro know which gives us a length of 4 units.

(6, -2) and (6, 2) = |-2 - 2| = 4 units

(6, -2) and (6, 6) = |-2 - 6| = 8 units

(6, -2) and (10, -2) = |10 - 6| = 4 units

(6, -2) and (2, -2) = |6 - 2| = 4 units

(6, -2) and (6, -6) = |-2 - (-6)| = 4 units

(6, -2) and (-2, -2) = |6 - (-2)| = 8 units

(6, -2) and (-10, -2) = |6 - (-10)| = 16 units

Therefore, the possible coordinates of the other endpoint of the line are: (6, 2),  (10, -2), (2, -2), and (6, -6).

Learn more about distance between two points on:

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Step-by-step explanation:

choice 2 ..............

Answe i

Can't see the picture

Step-by-step explanation:

Answer:

y=12x - 192

Step-by-step explanation:

Hi there!

We are given the points (16,0) and (17, 12)

We want to write the equation of the line that contains these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes

[tex]x_1=16\\y_1=0\\x_2=17\\y_2=12[/tex]

Now let's plug these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{12-0}{17-16}[/tex]

Subtract

m=[tex]\frac{12}{1}[/tex]

Divide

m = 12

The slope of the line is 12.

Let's substitute that as m in y=mx+b.

Here is our equation so far:

y=12x + b

Now we need to find b

As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:

Substitute 16 as x and 0 as y.

0 = 12(16) + b

Multiply

0 = 192 + b

Subtract 192 from both sides

-192 = b

Substitute -192 as b in the equation

y = 12x - 192

Hope this helps!

Topic: finding the equation of the line

See more on this topic here: https://brainly.com/question/27568529

Answer:

sin45°=x/16

or, 1/√2 = x/16

or, x=16/√2

or, x=8√2 or 11.31 #

Answer:

5 inches

Step-by-step explanation:

As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:

[tex](height)^2+(radius)^2=(slant\:height)^2[/tex]

[tex]4^2+(6/2)^2=(slant\:height)^2[/tex]

[tex]16+9=(slant\:height)^2[/tex]

[tex]25=(slant\: height)^2[/tex]

[tex]5=slant\: height[/tex]

In conclusion, the slant height of the cone is 5 inches. See below for a visual.

Answer:

Interest=75

Amount=575

Step-by-step explanation:

Interest= Principal×rate×time÷100

500×5×3÷100=75

Amount=Principal+Interest

Amount=575

I hope you find this helpful

Answer:

Amount =principa+simple interest.

=575

Step-by-step explanation:

Simple =(P*R*T) /100.

=(500*5*3)/100.

=75.

.....

500+75=575

Answer:

60 gallons

Step-by-step explanation:

so he enlarged it by three so it would be 24by30

because of that, you have to multiply 20g by 3 also

that gives you 60 gallons