please someone explain to me how did we multiply the denominator in this

Answer:

A(-3 , 3)  B(-4 , 7)  C(2 , 6)  D(3 , 2)

Step-by-step explanation:

Rotation of the parallelogram about the point P(4, 1), is done by taking

point P as the origin, and using relative coordinates for the rotation.

Reasons:

The given parameters are;

Vertices of the parallelogram ABCD are;

A(6, 8), B(10, 9), C(9, 3) and D(5, 2)

Point about the parallelogram is rotated = P(4, 1)

Angle of rotation = 90°

Direction of rotation = Counterclockwise

90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)

Therefore, we have;

The given points relative to the point P are;

A'(6-4, 8 - 1) = A'(2, 7)

B'(10 - 4, 9 - 1) = B'(6, 8)

C'(9 - 4, 3 - 1) = C'(5, 2)

D'(5 - 4, 2 - 1) = D'(1, 1)

Therefore, we get;

A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)

B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)

C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)

D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)

Which then gives;

The image location are;

A(-7 + 4, 2 + 1) = A(-3, 3)

B''(-8 + 4, 6 + 1) = B(-4, 7)

C''(-2 + 4, 5 + 1) = C(2, 6)

D''(-1 + 4, 1 + 1) = D(3, 2)

Therefore, we have;

A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)

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Answer:

2347897876 my number

Step-by-step explanation:

Answer:

The unit of measure appropriate is cubic metre or cubic meter (m³)

Step-by-step Explanation:

we know that

The volume of a cube is equal to

V = b^3

where b is the length side of the cube

In this problem we have

b = 2m

substitute in the formula of volume

V = 2^3

V = 8 m^3

therefore

The unit of measure appropriate is cubic metre (m³)

Answer:

6

Step-by-step explanation:

3! = 3 x 2 x 1 = 6

I think you meant, if a = 0.

If a = 0, then,

a³ = 0³

a³ = 0 × 0 × 0

a³ = 0

Answer:

it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes

Step-by-step explanation:

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

Answer:

.666

Step-by-step explanation:

Answer:

[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]

Answer:

She can buy 3

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

I would say  A,B, or D

Step-by-step explanation:

Answer:

0.111 hope that helps you

Answer:

The error is that the question equals -13-13.

Step-by-step explanation:

This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)

Answer:

6 loads would be required to fill the truck with 2¼ tons

Step-by-step explanation:

1 ton= 2000 pounds

2¼ tons= 4500 pounds

4500/750=6

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Thank you,

Miss Hawaii

Answer:

6 loads

Step-by-step explanation:

Answer:

He has 672 nails

Step-by-step explanation:

168/.25

Answer:

He has 672 nails.

Step-by-step explanation:

Weight of all nails=168

Weight of a nail=0 .25

Then,

Number of nails=168/0.25

=672

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

Answer:

B

Step-by-step explanation:

Hope this helps you out! :)

Answer:

5)3/2

6) 7

7)16

8)13

9)27

10)17

Step-by-step explanation:

5) 4x+3=10x-1

x=3/2

6)9x-25=38

x=7

7)5x-7=

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

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

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).

Answer:  

42,893 + 2,432,743 = 2,475,636

, Hope this helps :)

Have a great day!!

Answer:

[tex]\sf 42893+2432743[/tex]

[tex]\sf =2475636[/tex]

Answer:

[tex] {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} [/tex]

Answer:

The answer would be 30 the second one is 180

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Answer:

$12,400

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

I = 31000 x .08 x 5

I = 12,400