Find the distance between the points (2,9) and (8,2)

Answer:

The values of x and y are;

x = 7 and y = 4.5

Step-by-step explanation:

The question is a word problem, given that the shape of the kite Karl makes is a parallelogram

The coordinates of the vertices are;

D(3, 6), G(1, 3), H(4, y), and E(x, 6)

From the properties of a parallelogram we have;

The diagonals bisect each other

Therefore;

GH = EH = 1/2·GE

Therefore, we have;

The coordinates of the point H = The coordinate of the midpoint of the line EG

The coordinates of the midpoint of a line with end points, (x₁, y₁) and (x₂, y₂) is given as follows;

The coordinates of the midpoint of a line = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Therefore;

The coordinates of the midpoint of the line EG  are ((1 + x)/2, (3 + 6)/2)

Given that the midpoint of EG is the point H and the coordinate of the point H is (4, y), we have;

(1 + x)/2 = 4, therefore;

2 × 4 = 1 + x

8 = 1 + x

x = 8 - 1 = 7

Similarly, we have from the coordinate of point H which is given as follows;

((1 + x)/2, (3 + 6)/2) = (4, y)

y = (3 + 6)/2 = 9/2 = 4.5

Therefore, x = 7, y = 4.5.

Parallel sides of a parallelogram have the same slope

The values of x and y are 6 and 3, respectively.

The coordinate points are given as:

[tex]\mathbf{D =(3,6)}[/tex]

[tex]\mathbf{G =(1,3)}[/tex]

[tex]\mathbf{H =(4,y)}[/tex]

[tex]\mathbf{E =(x,6)}[/tex]

Lines DG and HE are parallel.

This means that they have the same slope (m)

The slope is calculated as:

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

So, we have:

[tex]\mathbf{m_{DG} = \frac{3 - 6}{1 - 3}}[/tex]

[tex]\mathbf{m_{DG} = \frac{- 3}{- 2}}[/tex]

[tex]\mathbf{m_{DG} = \frac{3}{2}}[/tex]

Similarly

[tex]\mathbf{m_{HE} = \frac{6 - y}{x - 4}}[/tex]

The slopes are equal.

So, we have:

[tex]\mathbf{\frac{6 - y}{x - 4} = \frac 32}[/tex]

By comparison:

[tex]\mathbf{6 - y = 3}[/tex] and [tex]\mathbf{x - 4 = 2}[/tex]

Solve for y in [tex]\mathbf{6 - y = 3}[/tex]

[tex]\mathbf{y = 3}[/tex]

Solve for x in [tex]\mathbf{x - 4 = 2}[/tex]

[tex]\mathbf{x = 6}[/tex]

Hence, the values of x and y are 6 and 3, respectively.

Read more about parallelogram and slopes at:

https://brainly.com/question/19654204

Answer:

Step-by-step explanation:

its a

Answer:

I believe it C

Answer:

[tex](x,y)\rightarrow(x-1,y+2)[/tex]

Step-by-step explanation:

One unit left would be subtracting 1 from the pre-image's x-value.

Two units up would be adding 2 to the pre-image's y-value.

The translation rule would be:

[tex](x-1,y+2)[/tex]

Hope this helps.

The coordinates after the translation of 1 unit left and 2 units up will be (x-1,y+2).

It is described as the alteration of the geometric body's form and coordinates. It is also known as a two-dimensional transformation. Rotation, translation, reflection, and gliding translation are just a few of the geometric transformations that may affect geometry.

It is given that the coordinates of the points are (x,y)

We have to find the coordinates after the translation of 1 unit left and 2 units up.

A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.

The final unit would be to deduct 1 from the x-value of the pre-image. The pre-y-value images would be increased by 2 by moving two units higher.

Thus, the obtained coordinates will be (x-1,y+2).

The question is incomplete.

The complete question is" if the coordinates of the points are (x,y). What will be the coordinates after the translation of 1 unit left and 2 units up?

Learn more about the geometric transformation here:

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A signed number to represent a given population change is -43,000.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Since the population of a certain city decreased by 43,000 people.

The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.

Thus, we can population change is shown by -43,000.

Hence, a signed number to represent this population change is -43,000.

Learn more about the number system here:

https://brainly.com/question/21751836

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Answer:

3+x=y

x=2/y=5

6+x=y

x=1/y=7

Answer:

Step-by-step explanation:

The attached graph shows the depth of the elevators with respect to the time the miners' elevator started.

After 14 more seconds, the positions are ...

  equipment: -6(42) = -252 feet relative to the surface

  miners: -16(14) = -224 feet relative to the surface

The equipment elevator is deeper.

Answer:

MP= (7.5,2) or another way of it [tex]MP= (\frac{15}{2},2 )[/tex]

Step-by-step explanation:

Midpoint formula: [tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{6+9}{2}),(\frac{-1+5}{2} )[/tex] 6+9=15  -1+5=4

[tex]MP= (\frac{15}{2}),(\frac{4}{2} )[/tex] 15/2=7.5 4/2=2

[tex]MP= (7.5,2)[/tex]

Answer:

10x+15

Step-by-step explanation:

Answer:

10x+15 because when you do the math that is what you get

Step-by-step explanation:

2(5x - 4)

Perimeter formula

P = 2l + 2w

P = 2(3x - 5) + 2(2x + 1)

= 6x - 10 + 4x + 2

= 10x - 8

= 2(5x - 4)

Answer:

23.99999 rounded 30

Step-by-step explanation:

4/3 x 18

Answer:

200 pages in 150 minutes.

Answer:

The number is 888888

Step-by-step explanation:

Here, we are interested in knowing the six digit number thought of by No time.

The clue we have here is that the six digit number has same value of digit for all its constituent.

Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.

So the 6 digit number is 888888

Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

Answer:

85.74 x 300 $ = 25722 Yem

Answer:

false

Step-by-step explanation:

Because in a counterexample if 10 is divisible by 2 but not by 6 then it is false.

Answer:

50%

Step-by-step explanation:

Answer:

The mean absolute deviation = 3.5°F

Step-by-step explanation:

The sum of the given temperatures, ∑T, is found as follows;

∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F

The number of days, n, over which the temperature was tracked = 8 days

Therefore, the mean, [tex]\bar x[/tex], of the data set = ∑T/n = 480°F/8 = 60°F

The mean absolute deviation is given by the following formula;

[tex]Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}[/tex]

Therefore, we have;

66 - 60 = [tex]\left | 6\right |[/tex] = 6

57 - 60 = [tex]\left | -3\right |[/tex] = 3

61 - 60 =  [tex]\left | 1\right |[/tex] = 1

65 - 60 =  [tex]\left | 5\right |[/tex] = 5

54 - 60 =  [tex]\left | -6\right |[/tex] = 6

62 - 60 =  [tex]\left | 2\right |[/tex] = 2

59 - 60 =  [tex]\left | -1\right |[/tex] = 1

56 - 60 =  [tex]\left | -4\right |[/tex] = 4

The mean absolute deviation is therefore;

The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.

Answer:

4+5-52*4=-199

Step-by-step explanation:

Answer: 107

Step-by-step explanation:

102.3 can be rounded down to 102 (because the 3 at the end of the number is  less than 5)

4.7 can be rounded up to 5 (because the 7 at the end of the number is greater than 5).

102.3  → estimate = 102

    4.7 →  estimate =   5  

   estimated sum  = 107

Note that estimating the sum is NOT the same as simply adding the numbers and then rounding the sum.

Answer:

Step-by-step explanation:

let 4 no:s be x, 3x, 5x, 7x

given, x+3x+5x+7x=80

        16x = 80

        x = 80/16

    therefore, x=5

so,   x=5  

    3x=15

    5x= 25

    7x= 35

Pls mark me as brainliest

Answer:

6

Step-by-step explanation:

Answer:

13/18

Step-by-step explanation:

26/2= 13

36/2= 18

13/18

Answer: Your answer is 13/18 or in decimal form 0.72

Answer:

33.75

Step-by-step explanation:

Every box has a height of 2.25 feet so if you multiply 2.25 times 15, you get 33.75.

I hope this helped!

Answer:

no

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

15 divided by 6 equals 2.5

Answer:

n = 2

Step-by-step explanation:

4-2 = 2n

[tex]\frac{2n}{4} =2[/tex]

4 x 2 =  8

2 x 2 = 4

8 - 4 = 4

Answer:

the answer would be

B.) 4/10 6/15 8/20

hope that helps

Answer:

AB=

[tex] \sqrt{260} [/tex]

Step-by-step explanation:

plz mark as brainliest if it helps

Inequalities are used to represent unequal expressions.

See attachment for the graph of [tex]y + \frac 34 x < 2[/tex] and [tex]y - 1 \le 2x[/tex]

The inequalities are given as:

[tex]y + \frac 34 x < 2[/tex]

[tex]y - 1 \le 2x[/tex]

Make y the subject in both inequalities

[tex]y < - \frac 34 x + 2[/tex]

[tex]y \le 2x +1[/tex]

[tex]y < - \frac 34 x + 2[/tex]

[tex]y \le 2x +1[/tex]

None of the given graphs represent the system of the inequalities

See attachment for the graphs of [tex]y + \frac 34 x < 2[/tex] and [tex]y - 1 \le 2x[/tex]

Read more about inequalities at:

https://brainly.com/question/17675534

Answer: 24

Step-by-step explanation:

if line BD = line BC, then

5x - 26 = 2x + 1

3x = 27

x = 9

so if you plug that pack into the original equation for line BC (2x + 1), then line BC is 19 units long. now, subtract that from AC to find the length of AB:

43 - 19 = 24 units