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4 years ago

Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)

Mathematics

1 answer:

Mkey [24]4 years ago

5 0

Answer:

$=\left(-\frac{19}{2},\:-2\right)$

Step-by-step explanation:

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)$

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The following data values represent a sample. What is the variance of the

xeze [42]

Answer:

The variance of the data is 15.

σ² = 15

Step-by-step explanation:

The mean is given as

X = 8

х | (x - X) | (x - X) ²

12 | 4 | 16

9 | 1 | 1

11 | 3 | 9

5 | -3 | 9

3 | -5 | 25

The variance is given by

$\sigma^2 = \frac{1}{n-1} \sum (x - X)^2$

$\sigma^2 = \frac{1}{5 - 1} (16 + 1 + 9 + 9 +25) \\\\\sigma^2 = \frac{1}{4} ( 16 + 1 + 9 + 9 +25) \\\\\sigma^2 = \frac{1}{4} (60) \\\\\sigma^2 = 15$

Therefore, the variance of the data is 15.

7 0

3 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$

6 0

3 years ago

Julio cubes a number and then takes the cube root of the result.He ends up with 20.What number did julio start with

Damm [24]

Cube rooting a number that is the result of cubing a number means you will end up with the original number again.

for example, if you do 3 cubed you get 27, and the cube root of 27 is 3. This means Julio started with the number 20

5 0

3 years ago

Please help on this problem :(

timofeeve [1]

Answer:

1: a

2: a

3: a

4: b

Step-by-step explanation:

a right triangle means the pythagorean theorem applies

a^2 + b^2 = c^2

is true for the triange

a and b are the two shorter sides and c is the long side

test with values to see if true

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

true, it is a right triangle

3 root^2 + 8 root^2 = 11 root^2

3 + 8 = 11

11=11

true, it is a right triangle

3^2+ 10 root^2 = 19 root^2

9 + 10 = 19

19=19

true, it is a right triangle

3^2 + 5^2 = 6^2

9+25= 36

34= 36

false not a right triangle

i hope this helps

4 0

3 years ago

WORTH 30 POINTS SHOW ALL WORK<br> What is y

givi [52]

Answer:

y=97

Step-by-step explanation:

1st do 42+55=97 to find

2nd do 180-97=83 to find z so z=83

3rd do then do 180-83=97 sense y and z are supplementary

so therefore the answer is y=97

If brainiest is earned its greatly appreciated

8 0

3 years ago

Read 2 more answers