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Galina-37 [17]
2 years ago
5

What is the length of BC ?​

Mathematics
2 answers:
Marat540 [252]2 years ago
8 0

Answer:

b = √12

Step-by-step explanation:

Pythogerom Thyrom

a^2 + b^2 = c^2

2^2 + b^2 = 4^2

4 + b^2 = 16

Find the value of b

4 - 4 + b^2 = 16 - 4

b^2 = 12

b = √12

galben [10]2 years ago
7 0
The answer is c.

Since a^2+b^2=c^2, b^2=c^2-a^2 thus,
16=4-b^2= srt. of 12
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What is the vertex of the parabola whose equation is y = (x + 1)^2 + 3?
dalvyx [7]
The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3) 

If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0 
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
5 0
3 years ago
what are the minimum first quartile median third quartile and the maximum of the data set? 9,20,4,18,4,18,20,9
den301095 [7]
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20

<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.  
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.

Part 1:
The minimum value of the data is 4.

Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9

1st quartile = (4+9)÷2
                  = 13÷2
                  = 6.5

Part 3:
Median of the data is;

Median = (9+18)÷2
              =27÷2
            = 13.5

Part 4:
3rd quartile is the median of the upper half which comprises of; 
18, 18, 20, 20.

3rd quartile = (18+20)÷2
                  = 48÷2
                   = 19

Part 5
The maximum of the set of data is 20.
7 0
3 years ago
Please help 14 points !!
Marrrta [24]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I answer this and can you explain it to me​
aliya0001 [1]

Answer:

5cm

Step-by-step explanation:

This is a trick question

5 0
2 years ago
Evaluate C_n.xP^xQn-x For the given n=7, x=2, p=1/2
r-ruslan [8.4K]

Answer:

The value of given expression is \frac{21}{128}.

Step-by-step explanation:

Given information: n=7, x=2, p=1/2

q=1-p=1-\frac{1}{2}=\frac{1}{2}

The given expression is

C(n,x)p^xq^{n-x}

It can be written as

^nC_xp^xq^{n-x}

Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.

^7C_2(\frac{1}{2})^2(\frac{1}{2})^{7-2}

\frac{7!}{2!(7-2)!}(\frac{1}{2})^2(\frac{1}{2})^{5}

\frac{7!}{2!5!}(\frac{1}{2})^{2+5}

\frac{7\times 6\times 5!}{2\times 5!}(\frac{1}{2})^{2+5}

21(\frac{1}{2})^{7}

\frac{21}{128}

Therefore the value of given expression is \frac{21}{128}.

7 0
3 years ago
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