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julsineya [31]
3 years ago
12

Calculate the distance between each given pair of points. Round your answer to the nearest tenth, if necessary.

Mathematics
1 answer:
Ksju [112]3 years ago
8 0
The answer is 5 

Here are the steps:

First off, we will be using the distance formula of 
d=\sqrt{(x_ {2}- x_{2}) ^{2}+( y_{2}- y_{1})^2     }

So we have the ordered pairs of (3,1) and (6,5)

Once you plug them into the formula it should look like this: 
d= \sqrt{(6-3)^2+(5-1)^2}

Now we do the math inside the parenthesis and end up with:
d=\sqrt{3^2+4^2}

Then you multiply by the power and simplify to get:
d=\sqrt{25}

And the \sqrt{25}=5

So your answer is 5
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For the school play, adult tickets cost 4 and children tickets cost 2. Natalie is working at the ticket counter and just sold 20
Svetradugi [14.3K]

The possible combinations of adult tickets and children tickets are : (0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0)

<u><em>Explanation</em></u>

Suppose, the number of adult tickets is x and the number of children tickets is y

Given that, adult tickets cost 4 and children tickets cost 2 and Natalie sold 20 worth of tickets. So the equation will be.....

4x+2y=20\\ \\ 2y= 20-4x\\ \\ y= 10-2x

If x = 0, then y= 10-2(0)= 10

If x = 1 , then y= 10-2(1)= 8

If x = 2 , then y= 10-2(2)= 6

If x = 3 , then y= 10-2(3)= 4

If x = 4 , then y= 10-2(4)= 2

If x = 5 , then y= 10-2(5)= 0

If we take x value greater than 5 , then y will become negative which is not possible.

So, the possible combinations of adult tickets and children tickets are : (0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0)


8 0
4 years ago
Solve the quadratic equation numerically (using tables of x- and y- values). -4x=-x2+12
Levart [38]
-4x=-x2+12 should be written  <span>-4x=-x^2+12, with " ^ " representing exponentiation.

You are to invent a table of x values and find the difference between -4x and -x^ 2+12.  The smaller the difference, the closer you are to finding the correct root, x.

To get you started:

 x     -4x              x^2+12      difference
--- ------------   ----------------   --------------
 2       -8                 16               24 (pretty bad!)
-4       16                28              12 (better)
 -10   40              112                72 (much worse)

To answer this problem correctly, you must present such a table, even tho' it'd be faster to use the quadratic formula (or some other method) to find x.


</span>
5 0
3 years ago
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without retur
Elena-2011 [213]

Answer:

You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.

Step-by-step explanation:

6 - 2 = 4

The 8 would stay the same

There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)

Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.

5 0
3 years ago
A relay race last 7.35 kilometers. Each relay team has 5 runners. If each runners goes the same distance in the race, how far do
loris [4]
Thirty six point seventy five
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Greeley [361]

Answer:

20

Step-by-step explanation:

x3+x2; x =4\\(4)3+(4)2\\12 + 8 =20

5 0
4 years ago
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