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3 years ago

Find the coordinate of the midpoint M given the two endpoints

Mathematics

1 answer:

Rasek [7]3 years ago

8 0

The midpoint would be (7, 5)

The midpoint of any two points is simply the average of the x points and the average of the y points. So we'll start by averaging the 2 x points together. To take an average, we add the two numbers together and divide by 2.

X VALUE

4 + 10 = 14

14/2 = 7

Now do the same for y

Y VALUE

22 + -12 = 10

10/2 = 5

Using those answers we can create the ordered pair (7, 5)

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What are the potential solutions of In(x2 - 25) = 0?

Paha777 [63]

Answer:

$x=\pm\sqrt{26}$

Step-by-step explanation:

$ln(x^2-25)=0$

$e^{ln(x^2-25)}=e^0$

$x^2-25=1$

$x^2=26$

$x=\pm\sqrt{26}$

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3 years ago

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Lady_Fox [76]

The answer is 26 i think

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2 years ago

Read 2 more answers

Which phrase best describes this polygon?

EleoNora [17]

Answer:

Concave octagon

Step-by-step explanation:

Concave octagon:

This polygon has 8 sides. So it is a octagon.
If one interior angle measures more than 180, then it is concave polygon.

So, this is a concave octagon

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1 year ago

The measure of an angle is 17°. What is the measure of its complementary angle?

lions [1.4K]

Answer:

73°

Step-by-step explanation:

the measure of two complementary angles add up to 90

so We need to solve this equation to get the measure of its complementary angle :

x + 17 = 90

then

x = 90 - 17

= 73

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3 years ago

Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the st

kari74 [83]

The margin of error of the random selection is 0.20

The given parameters are:

$n = 420$ --- the sample size

$\sigma = 1.6$ --- the standard deviation

$\bar x = 10$ --- the mean

$\alpha = 99\%$ --- the confidence level.

The margin of error (E) is calculated as follows:

$E = z \times \sqrt{\frac{\sigma^2}{n}}$

So, we have:

$E = z \times \sqrt{\frac{1.6^2}{420}}$

$E = z \times \sqrt{\frac{2.56}{420}}$

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

$E = 2.576 \times \sqrt{\frac{2.56}{420}}$

$E = 2.576 \times \sqrt{0.006095}$

Take square roots

$E = 2.576 \times 0.0781$

Multiply

$E = 0.2012$

Approximate

$E = 0.20$

Hence, the margin of error is 0.20