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yuradex [85]
3 years ago
8

The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

  (6 +3)² +(12 -4)² = r² = 9² +8²

  r² = 81 +64 = 145

Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

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The correct answer is 1 hour 37
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What is the value of y in the parallelogram below?<br> G<br> 108<br> 3y<br> D<br> E
Arlecino [84]

Answer:

C

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180° , so

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24 → C

5 0
3 years ago
If B equals 7 what is the value of the expression 2 + (10 - B )?
avanturin [10]

We just need to <u>plug in 7 for B! </u>

Let's do it !

2 + (10 - 7)

<em>We always start with the parenthesis first ! It's just a rule in math :) </em>

10 - 7 = ?

10 - 7 = 3

Now we have ...

2 + 3

2 + 3 = 5

Your final answer is 5!

I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!

6 0
3 years ago
Read 2 more answers
What is obtained by squaring the standard deviation?
anastassius [24]
<h2>Answer:</h2>

Variance

<h2>Step-by-step explanation:</h2>

The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma \sigma, while the variance measures how far a set of  numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as \sigma^{2}

3 0
3 years ago
If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________
LiRa [457]

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

  • The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
  • The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
  • Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

brainly.com/question/15221256

#SPJ4

7 0
2 years ago
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