5/9 least common dominator

Answer:Dan

Step-by-step explanation:

Answer:\

x ≥ 6

Step-by-step explanation:\

4x -30≥ - 3x + 12    

add 30 to bot size

4x - 30 + 30 ≥ -3x + 12 + 30

simplify

4x  ≥ -3x +  42

add 3x to bot  sides

4x +3x ≥ -3x+42+3x

simplify

7x ≥ 42

divide   bot sides by 7

7x/7 ≥ 42/7

simplify

x ≥ 6

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).

The other two vertices of the square are (-4, -2) and (-2, 4).

What are the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2)?

To find the other two vertices of a square with one vertex at (0, 0) and another vertex at (4, 2), you can use the properties of a square, which has equal sides and right angles.

1. First, find the vector from the first vertex (0, 0) to the second vertex (4, 2). This vector represents one side of the square.

  Vector = (4 - 0, 2 - 0) = (4, 2)

2. Since the square has equal sides, you can move in the opposite direction of the vector to find the third vertex.

  Third Vertex = (0, 0) - (4, 2) = (-4, -2)

3. Now, to find the fourth vertex, you can rotate the vector by 90 degrees counterclockwise. To do this, swap the x and y components and negate the new x component:

  Fourth Vertex = (-2, 4)

So, the other two vertices of the square are (-4, -2) and (-2, 4).

Learn more on vertices here;

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The solution for 4x - 4  <  8  is  x < 3

The solution for 9x + 5 > 23 is x > 2

The given inequality is:

4x  -  4   <  8

Add 4 to both sides

4x  -  4  +  4   <  8  +  4

4x    <   12

Divide both sides by 4

The second inequality is:

9x  +  5  >  23

Subtract 5 from both sides of the inequality

9x  +  5  -  5   >  23  -  5

9x   >   18

Divide both sides by 9

The solution for 4x - 4  <  8  is  x < 3

The solution for 9x + 5 > 23 is x > 2

Learn more here:brainly.com/question/17448505

The decimal equivalent of 25/100 is 0.25. Therefore, option A is the correct answer.

The fraction is given as 25/100.

To find the decimal equivalent of a fraction, we divide the numerator by the denominator.

As per the question, the numerator is 25 and the denominator is 100. Dividing 25 by 100 gives us 0.25.

Therefore, option A is the correct answer.

Option B, 0.4, is incorrect because it is equivalent to 40/100 or 2/5.

Option C, 0.75, is equivalent to 75/100 or 3/4.

Option D, 4.0, is not a decimal equivalent of 25/100.

Thus, the decimal equivalent of 25/100 is 0.25.

Learn more about the fraction here:

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Hi

The answer A

25/100=0.25

I hope that's help:0

Answer:

There are 50 beads on the bookmark.

Step-by-step explanation:

To know the number of rows of the beads are used on the bookmark, we just need to divide.

Notice that the bookmark is 20 centimeters long, and each bead is 4 milimiters. In order to divide, we need to transform centimeters to millimeters.

We know that 1 centimeter is 10 millimeters, that means 20 centimeters is 200 millimeters.

Then, the division is

Therefore, there are 50 beads on the bookmark.