Which expression is equivalent to 2/3

Answer:

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

Step-by-step explanation:

Let suppose that center of dilation is located at origin, that is [tex]O(x,y) = (0,0)[/tex]. Vectorially speaking, dilation is described by following expression:

[tex]D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.

[tex]D(x,y)[/tex] - Original point.

[tex]D'(x,y)[/tex] - Dilated point.

[tex]r[/tex] - Dilation factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]r = \frac{2}{3}[/tex], [tex]J(x,y) = (0,0)[/tex], [tex]K(x,y) = (0,6)[/tex], [tex]L(x,y) = (9,12)[/tex] and [tex]M(x,y) = (12,0)[/tex], then the dilated points are, respectively:

[tex]J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)][/tex]

[tex]J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)][/tex]

[tex]J'(x,y) = (0,0)[/tex]

[tex]K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)][/tex]

[tex]K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)][/tex]

[tex]K'(x,y) = (0,4)[/tex]

[tex]L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)][/tex]

[tex]L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)][/tex]

[tex]L'(x,y) = (6, 8)[/tex]

[tex]M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)][/tex]

[tex]M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)][/tex]

[tex]M'(x,y) = (8,0)[/tex]

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

  Option B will be the correct option.

        (a, b) → (ka, kb)

Following the rule for dilation,

If a quadrilateral J(0, 0), K(0, 6), L(9, 12) and M(12, 0) is dilated by a scale factor [tex]\frac{2}{3}[/tex], coordinates of the image points will be,

[tex]J(0,0)\rightarrow J'(0, 0)[/tex]

[tex]K(0,4)\rightarrow K'(0, 4)[/tex]

[tex]L(9,12)\rightarrow L'(6,8)[/tex]

[tex]M(12,0)\rightarrow M'(8,0)[/tex]

     Therefore, Option B will be the correct option.

Learn more about the rule of dilation here,

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Answer:

just send them here , I will answer the ones I know .

Answer:

12.35-4.30=8.05

8.05÷3= 2.68333333333333....

            ≈2.68

mr. russell questions:

1: false.

2: false.

3: true

4: false.

5: true.

the last question: D.

Answer: bro cmon this is simple m8 but i will still help :D

Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!

The rate in miles per minute is 320

Answer:

djchdjcycuchrivivurtiytvivytivi8fr cgdyhcd8w

Answer:

250 girls

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

Part 1: y= 49

Part 2: y=12

Step-by-step explanation:

Part 1: The y is going up by 7, so if you add 7 to 42, you get 49

Part 2: The y is going up by 4, so if you add 4 to 8, you get 12

Answer:

The area is 155 square feet

Step-by-step explanation:

[tex]\frac{(13+18)} {2}[/tex] × 10

[tex]\frac{31}{2}[/tex] × 10

15.5×10=155

Hope this helps! :)

Answer:

3 and 3/5

Step-by-step explanation:

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

Answer:

We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number. So the greatest common factor 30 and 36 is 6.

Step-by-step explanation:

Answer:

can write it again soon as you can do it again

Answer:

Each costume will take 7 1/3 yards of green fabric

Step-by-step explanation:

They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.

Answer:

1/3

Step-by-step explanation:

Anything under 4 has a 4/6 chance, so whats left is 2/6, which is equal to 1/3.

Answer:

1/3

Step-by-step explanation:

im assuming its a 6 sided dice

so each side is numbered 1-6

u want the probabilty if it being greater than 4

4 of the 6 numbers aren't greater than 4 so 4/6of the time it will be less than 4

which and be simplified to 2/3

so 1/1-2/3=1/3

so there is a 1/3 propbability that it will be greater than 4

Answer:

6367276244 6367276244

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Answer:

6367276244

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

The length of the wire is 83meter.

Given that,

A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower.

If the wire makes a 65-degree angle with the ground.

We have to determine,

How long is the wire?

According to the question,

The computation of the length of the wire is shown below:

Let, the length of the wire be x,

There is 35m from the base of the tower,

And, the angle with the ground is 65 degree

Therefore,

The length of the wire is given by,

[tex]cos65 = \dfrac{35}{x}\\\\[/tex]

Substitute the value of cos65 in the equation,

[tex]cos65 = \dfrac{35}{x}\\\\x = \dfrac{35}{cos65}\\\\x = \dfrac{35}{0.42}\\\\x = 83.33 \ meter[/tex]

Hence, The length of the wire is 83meter.

To know more about Trigonometry click the link given below.

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Answer:

Its C trust me cuh

Step-by-step explanation:

Please give me Brainlist bro I just need 2 more

I hope u have a good day

Answer:

The angle measure would be 40°

Step-by-step explanation:

Right angles have a measure of 90. Since DC is 50, 90-50 is 40.

The angle measure of  ∠EBC would be 40°.

The arc is a portion of the circumference of a circle

Right angles have a measure of 90°.

∵∠BOD=90°

Since ∠DC is 50°,

∠EBC = ∠BOD-∠DC

∠EBC = 90°-50° is 40°.

The angle measure of  ∠EBC would be 40°.

learn more about arc of circle

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#SPJ2

Answer:

ll and lll

Step-by-step explanation:

Answer:

2.48........is your answer

Step-by-step explanation:

12×12 =144

144÷58

Answer:

x=16

y=3

Step-by-step explanation:

32÷2=16

19-16=3

x=16

y=3

Answer:

[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]

Step-by-step explanation:

To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).

Hope it helps and is correct!

Answer:

C. log 10m is the correct answer.

Step-by-step explanation:

The laws of logarithm states that if you have:

[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]

So, comparing that to your question,

[tex] log(m) + log(10) = log(10m) .[/tex]

Answer:

A. The number of people infected increases expontially by approximately 80/ per month

Step-by-step explanation:

I'll just remind

Answer:

slope of given line is 4.

so slope of line perpendicular to it will be -1/4