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Tanzania [10]
4 years ago
12

Find a the coordinate of the midpoint M given the two endpoints

Mathematics
2 answers:
EleoNora [17]4 years ago
7 0

The midpoint of these two points would be (2, 8)

To find the midpoint of any two points, simply take the average of the x's and then the average of the y's. This will create a point directly in between them. To take an average, add the points together and then divide by 2. We'll start with the x values.

X VLAUE

11 + - 7 = 4

4/2 = 2

Next we do the same for the y value.

Y VALUE

3 + 13 = 16

16/2 = 8

Now we can take these two answers and put them together for the ordered pair of (2, 8)

jolli1 [7]4 years ago
5 0

The midpoint of the two coordinates are M (2, 8)

Midpoint is calculated with the following formula:

\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}

\frac{11+-7}{2}, \frac{3+13}{2}

\frac{4}{2}, \frac{16}{2}

2, 8

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WXY is a right triangle. <br><br> A. True. <br> B. False.
lora16 [44]

Answer:

B. False


Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of  square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So  (\sqrt{34} )^{2}  should equal  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}

  • <em>We also know that  (\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a</em>

Hence,  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36  , and

(\sqrt{34} )^{2}=34

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

5 0
3 years ago
Read 2 more answers
Find the value of x that will make A||B.<br> 5x + 9<br> A<br> B<br> 6x-2<br> X =<br> [?]<br> Enter
givi [52]

Answer:

x = 11

Step-by-step explanation:

Given

Parallel lines A and B

Required

Find x

For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles

And alternate interior angles are always equal

This means that

5x + 9 = 6x - 2

Collect like terms

5x - 6x = -2 -9

-x = -11

Multiply both sides by -1

-1 * -x = -11 * -1

x = 11

4 0
4 years ago
Read 2 more answers
1. Rewrite 10^32 • 10^6 using a single exponent
OLga [1]

Answer:

1. 10^(38)

2. total amount = 10^11 or total amount = $100000000000  

Step-by-step explanation:

For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:

1. (10^32)*(10^6)

10^(32 + 6)

10^(38)

2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:

total = (10^6)*(10^5)

total = 10^(6 + 5)

total = 10^11

total = $100000000000

6 0
3 years ago
Find the midpoint of the line segment with the given endpoints<br> (4,-6), (9, 6)
kotegsom [21]

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

4 0
2 years ago
The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
marissa [1.9K]

Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

5 0
2 years ago
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