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Molodets [167]
2 years ago
11

What is the length of the segment joining the points at (-6, 8) and (6, 3)?

Mathematics
1 answer:
melisa1 [442]2 years ago
7 0

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

5^2 + 12^2 = 169

\sqrt{169} = 13 units

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Sanjay had a case of 24 bottles of water. In the first week Sanjay drank 3/8 of the bottles of water. In the second week Sanjay
Gnom [1K]

Answer:

The answer to your question is: 5 bottles

Step-by-step explanation:

Process

First week

Divide 24 by 8

                        24/8 = 3 bottles = 1/8

                        but Sanjay drank 3/8 = 9 bottles

And there are 24 - 9 bottles left = 15

- Second week

Divide 15 by 3

                       15/3 = 5 then 5 bottles = 1/3

                       but sanjay drank 2/3 = 10 bottles

Then, there are 15 - 10 bottles left  = 5

                         

8 0
3 years ago
X-2y=18 2x+y=6 parallel perpendicular or neither
sergey [27]
<h3>Therefore they are perpendicular.</h3>

Step-by-step explanation:

A equation of line is

y =mx +c

Here the slope of the line is m.

Given equations are

x - 2y = 18

⇔-2y = -x +18

\Leftrightarrow y =\frac{1}{2} x -9............(1)

and 2x + y = 6

⇔y = -2x +6 ............(2)

Therefore the slope of equation (1) is(m_1)= \frac{1}{2}

Therefore the slope of equation (2) is(m_2)= -2

If two lines are perpendicular, when we multiply their slope we get -1.

therefore,

m_1. m_2 =\frac{1}{2}. (-2) = -1

Therefore they are perpendicular.

4 0
3 years ago
Solve for x and y:<br> 3/x -1/y =13/10<br> 1/x + 2/y =9/10
harkovskaia [24]

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

  3x' -y' = 13/10

  x' +2y' = 9/10

Adding twice the first equation to the second, we get ...

  2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)

  7x' = 35/10 . . . . . . simplify

  x' = 5/10 = 1/2 . . . . divide by 7

Using the first equation to find y', we have ...

  y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5

So, the solution is ...

  x = 1/x' = 1/(1/2) = 2

  y = 1/y' = 1/(1/5) = 5

  (x, y) = (2, 5)

_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

3 0
3 years ago
What is 17,000 divided by 100
Nina [5.8K]
17000 divided by 100=170    

5 0
3 years ago
Read 2 more answers
Please Help!!!!
Angelina_Jolie [31]

Answer:

(4,5)

Step-by-step explanation:

The "feasible region" has vertices (0,0), (7,0), (5,4), and (4,5)

P = 5x + 6y

Plug in each vertices in P  and find out which give maximum value

(0,0) => P= 5(0) + 6(0) = 0

(7,0) => P= 5(7) + 6(0) = 35

(5,4) => P= 5(5) + 6(4) = 49

(4,5) => P= 5(4) + 6(5) = 50

We got maximum P=50 for vertex (4,5)

So  the coordinates of the point that has the maximum value is  (4,5)

6 0
3 years ago
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