Let R be the region bounded by a triangle whose vertices are (0,0), (0,2) and (2,2). Find the volume generated when R is revolved about the X-axis.

a. Using the Washer Method
b. Using the Shell Method

Answer:

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

Answer:

You know somw things are changed i can't even answer that so please answer it yourself because hahhahaahahaahahhahahahha hello

Step-by-step explanation:

Because i dont know how to answer that ok?! Tell that to ur mom haha

Answer:

x=x

Step-by-step explanation:

Answer:

Seven tens, eight ones.

Step-by-step explanation:

It's the answer. XD

Answer:

78

Step-by-step explanation:

1s place and tens place are in 78.

Step-by-step explanation:

x= 40

let the triangle be abc

Answer:

20%

Step-by-step explanation:

i actually dont know sorry :(

Answer:

20% discount

Step-by-step explanation:

4/5 = 80%

5/5 - 4/5 = 1/5

1/5 = 20%

Answer:

58926938427

Step-by-step explanation:

Answer:

Folow the PEMDAS rules wich show the order in which to do things:

Parenthesis first, then Exponent, then Multiplication/Division and finally Additiion and Subtraction. Therefore we solve whats in parenthesis first then work from there

567x237 is 134,379 and 467x939 is 438,513

now that we solved whats in parenthesis multiply the remaining values:

134,379x438,513=58,926,938,427

58,926,938,427 is correct

Step-by-step explanation:

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

-------------

solve by any method to get:

x = 65

y = 13

Answer:

12

Step-by-step explanation:

20-8=12

Answer:

x = -4

Step-by-step explanation:

Ok first let's put the equation.

-0.2(3x – 25) = -0.1x + 7 (first distribute the -.2 to 3x and -25)

-0.6x + 5 = -0.1x + 7 (subtract 5 on both sides)

-0.6x = -0.1x + 2 (add -0.1x on both sides)

-0.5x = 2 (divide by -0.5 on both sides)

x = -4

Hope this helps!!

Answer:

I'm sorry I just dont know it....

Answer:

y=(x-2)^2-81

Step-by-step explanation:

Answer:

8x+36

Step-by-step explanation:

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In order to simplify this, we should use the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

According to the property,

[tex]\longrightarrow\tt{4(2x+9)=8x+36}[/tex]

I hope it helps you! Have an awesome day!

If you need any explanation or clarification, feel free to reach out! :D

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - - - - -  - - - - -

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

Answer:

-1

Step-by-step explanation:

did math on caculator

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

Answer:

35%

Step-by-step explanation:

14÷40= 0.35 (35%)

0.35 × 40= 14

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

[tex]f(x)=-2x^2-3x-8[/tex]

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

[tex]\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}[/tex]

And:

[tex]\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}[/tex]

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

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

Calculate the slope:

[tex]m=\frac{-52-(-35)}{4-3}=-17/1=-17[/tex]

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.

Answer:

$10.80

Step-by-step explanation:

45% of $24=10.8

use place value and money to make it $10.80

TEN DOLLARS AND EIGHTY CENTS

Answer:

I Meant y =  -13

Step-by-step explanation:

Answer:

y= -13

Step-by-step explanation:

-13 plus 20 is 7

plug the -13 in where the y is and do the equation

-13+20=7

Answer:

2

Step-by-step explanation:

perpendicular means the opposite inverse of a slope. So -1/2 will become 2/1 or simply 2.

opposite means the sign will change, negative becomes positive and positive becomes negative.

inverse flip numerator and denominator.

[tex]\huge\boxed{Hi\;there!}[/tex]

★Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, change its sign, and then, flop it over:

[tex]\displaystyle-\frac{1}{2}[/tex]

[tex]\displaystyle\frac{1}{2}[/tex]

[tex]2[/tex]

[tex]\huge\boxed{\mathfrak{Answer:{\boxed{the\;slope\;of\;line\;y\;is\;2}}}}}[/tex]

[tex]\bold{Hope\;it\;helps!}[/tex]

[tex]\rm{Enjoy\;your\;day![/tex]

[tex]\boxed{AmiableTeen:)}[/tex]

Answer:

Step-by-step explanation:

For 2 it is 6/7. 36 and 42 share a common factor, 6. If you divide each one by 6, 36 becomes 6, and 42 becomes 7. So, number 2 is 6/7.

Answer:8 cups

Step-by-step explanation:

2/3=x/12

2x12=24

24 divided by 3 = x

X=8

Answer:

D

Step-by-step explanation:

Plz mark as brainliest!!!