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Kay [80]
3 years ago
12

If the endpoints of `bar(AB)` have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of `bar(AB)`?

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1. You have the following points given in the problem above:

A(9,8)\\ B(-1,-2)

2. To find the midpoint, you must apply the formula that is used for calculate it. This is:

m=(\frac{x1+x2}{2}, \frac{y1+y2}{2} )

Where:

x1=9\\ x2=-1\\ y1=8\\ y2=-2

3. Now, you must substitute these values into the formula for calculate the midpoint, as following:

m=(\frac{9+(-1)}{2} ,\frac{8+(-2)}{2} )\\ m=(4,3)

Therefore, the answer is: m=(4,3)

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What is sin 0 when sec 0 = 5? 0 |(1,0) sin e = 2[?] [] Rationalize the denominator if necessary.​
Komok [63]

Answer:

Sin ~0 =\frac{2\sqrt{5} }{5}

Step-by-step explanation:

sec0=\sqrt{5}

cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }

sin ~0=\sqrt{1-cos^2~0}

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Sin~0=2\sqrt{5}/2=2\sqrt{5}/5

<u>--------------------------------</u>

hope it helps...

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7 0
3 years ago
Solve for x9(x + 1) = 25 + x
vaieri [72.5K]
When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
+x will go over the equality sign to become -x. The same applies to +9
9x - x=23 - 9
9x minus x is 8x
8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck
8 0
3 years ago
Read 2 more answers
7. (05.02 MC)
Diano4ka-milaya [45]

Considering the Central Limit Theorem, we have that:

a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.

b) The probability can be calculated, as the sample size is greater than 30.

<h3>What does the Central Limit Theorem state?</h3>

It states that the sampling distribution of sample means of size n is approximately normal has standard deviation s = \frac{\sigma}{\sqrt{n}}, as long as the underlying distribution is normal or the sample size is greater than 30.

In this problem, the underlying distribution is skewed right, that is, not normal, hence:

  • For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
  • For item b, the probability can be calculated, as the sample size is greater than 30.

More can be learned about the Central Limit Theorem at brainly.com/question/16695444

#SPJ1

8 0
2 years ago
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