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11Alexandr11 [23.1K]
3 years ago
7

Triangle ABC has vertices of A(-6, 7), B (4, -1), and C (-2, -9). What is the length of the median from angle B?

Mathematics
2 answers:
jeka943 years ago
6 0
Coordinates of the midpoint of AC:
M ( (-6-2) / 2) , ( 7-9 ) /2 ) = ( -4, -1 )
d ( BM ) = √ ( 4 + 4 )² + ( -1+ 1 )²
d ( BM ) =   √  8 ²  =√ 64 = 8
The length of the median from angle B is 8.
aalyn [17]3 years ago
4 0

Answer:  The length of the median from angle B is 8 units.

Step-by-step explanation:  As shown in the attached figure, A(-6, 7), B(4, -1) and C(-2, -9) are the vertices of ΔABC.

We are to find the length of the median BD from angle B to side AC.

Since BD is the median on side AC. So, D will be the mid-point of side AC.

Therefore, the co-ordinates of the point 'D' are

\left(\dfrac{-6+(-2)}{2},\dfrac{7+(-9)}{2}\right)=\left(\dfrac{-8}{2},\dfrac{-2}{2}\right)=(-4,-1).

Now, the length of median BD is equal to the distance between the vertex 'B' and the point 'D'.

Therefore, the length of median BD calculated using distance formula is

BD=\sqrt{(-4-4)^2+(-1+1)^2}\\\\\Rightarrow BD=\sqrt{64+0}\\\\\Rightarrow BD=\sqrt{64}\\\\\Rightarrow BD=8.

Thus, the length of the median from angle B is 8 units.

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Put it in standard form, z=a+bi where the point is (a,b)
z=-5i-14
The point would be (-5,-14)
That would be located in the negative x and y coordinates, so it would be in the third or III quadrant.
Hope this helps. 

7 0
3 years ago
What is the slope of the line represented by the equation y =<br> =-1/2 x+ 1/4?
Lemur [1.5K]

Answer:

-1/2

Step-by-step explanation:

y = mx + c is the standard form of the equation where m is slope. Comparing the question to the equation we get

m = -1/2

3 0
3 years ago
37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers hers
valina [46]

Answer:

(a) 2.22

(b) 1.3986

(c) 1.183

Step-by-step explanation:

Let <em>X</em> denote the number of women who consider themselves fans of professional baseball.

The proportion of women who consider themselves fans of professional baseball is, <em>p</em> = 0.37.

A random sample of <em>n</em> = 6 women are selected and each was asked if she considers herself a fan of professional baseball.

Each woman's reply is independent of the others.

The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.37.

(a)

Compute the mean of the binomial distribution as follows:

\text{Mean}=np=6\times 0.37=2.22

(b)

Compute the variance of the binomial distribution as follows:

\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986

(c)

Compute the standard deviation of the binomial distribution as follows:

\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183

5 0
2 years ago
What is the difference in length between the longest and shortest pieces of ribbon?
jasenka [17]

Answer: B

Step-by-step explanation: have a great day pls brainliest

6 0
2 years ago
Read 2 more answers
If the probability of a win is 0.02, and the probability of a draw is 0.8, what is the probability of a loss?
atroni [7]
A probability is a number between zero and one. 

There are 3 options win, lose or draw. 
This means that (win + loss + draw = 1)

From the information given you know:
Win = 0.02
Draw = 0.8 

So: 0.02 + loss + 0.8 = 1 
Therefor loss = 1 - 0.8 - 0.02 
loss = 0.18 
final answer ^ 

Hope this helps, let me know if you don't get any of it! 
8 0
3 years ago
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