Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

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.

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Answer: 816

Step-by-step explanation:340+340=680 in 20 hours and 340 divided by 10=34/hour so 34x4=136

So.., 680+136=816

Answer:

2+2=4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

it's 4 lol, open 2 fingers and open another 2 fingers then count them

Answer:

3 and 3/5

Step-by-step explanation:

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]

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:

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:

0.16

Step-by-step explanation:

Given the data:

Students __ `Gr_9 __Gr_10 __ G_11 __G_12

Frequency : 152 ___130 ______ 80 ___98

The probability is :

Frequency of grade 11 / number of trials

80 / 500

Answer:

x=16

y=3

Step-by-step explanation:

32÷2=16

19-16=3

x=16

y=3

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:

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.

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Answer:

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

Answer:

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

Step-by-step explanation:

I'll just remind

The numbers that round to 387.4 when rounded to the nearest tenth are in the following interval.

387.35 <= x < 387.4

To round a number to the nearest tenth, we must observe the second decimal digit of the number:

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mr. russell questions:

1: false.

2: false.

3: true

4: false.

5: true.

the last question: D.

Answer:

slope of given line is 4.

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

Answer:

8 is the correct answer of this question

Answer:

8

Step-by-step explanation:

Answer:

djchdjcycuchrivivurtiytvivytivi8fr cgdyhcd8w

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:

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

Step-by-step explanation:

12×12 =144

144÷58

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: 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!

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:

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:

250 girls

Step-by-step explanation:

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

Answer:

Q(-2, -1)

Step-by-step explanation:

P(-2, 5) is 3 units ABOVE the line y = 2.  If we reflect this point in the line y = 2, we end up with a point Q(-2, -1), where the '-1' comes from subtracting 3 from 2.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The new coordinate of the point P is (-2,-1).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

If the point and the line are plotted on the graph as shown below. It can be observed that point P is 3 units away from the line.

Now, since the point is reflected along the horizontal line, therefore, the x-coordinate of the point will not change, while the y-coordinate will be 3 units below the line.

Thus, the new coordinate of the point can be written as,

New-coordinate = (-2, 2 - 3) = (-2, -1)

Hence, the new coordinate of the point P is (-2,-1).

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