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SVEN [57.7K]
3 years ago
8

Find the midpoint of the segment with the following endpoints. (4,2) and (7,6)

Mathematics
1 answer:
Tema [17]3 years ago
4 0

Answer:

The answer is

<h2>( \frac{11}{2} \: , \: 4)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,2) and (7,6)

The midpoint is

M = ( \frac{4 + 7}{2}   \: , \:  \frac{2 + 6}{2} ) \\  = ( \frac{11}{2} \: , \:  \frac{8}{2} )

We have the final answer as

( \frac{11}{2} \: , \: 4)

Hope this helps you

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Question 8
sasho [114]

we are given

system of equations

First equation is

3x-2y=31

Second equation is

3x+2y=-1

now, we can find augmented matrix

A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}

step-2:add -3 times the 1st row to the 2nd row

A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}

step-3:multiply the 2nd row by 1/4

A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}

step-4: add 2/3 times the 2nd row to the 1st row

A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}

so, we get

x=5,y=-8

Answer is (5,-8)

6 0
3 years ago
Read 2 more answers
Extrano a mi sobrina, what does the underlined word mean
Simora [160]

Answer:

I miss my niece

Step-by-step explanation:

it's the meaning of that hope U get it ...

6 0
2 years ago
Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
Shalnov [3]

Answer:

See below.

Step-by-step explanation:

Formula:

a_n = 3(n + 4)

First term: n = 1

a_1 = 3(1 + 4) = 15

Second term: n = 2

a_2 = 3(2 + 4) = 18

Third term: n = 3

a_3 = 3(3 + 4) = 21

Fourth term: n = 4

a_4 = 3(4 + 4) = 24

Tenth term: n = 10

a_{10} = 3(10 + 4) = 42

4 0
3 years ago
F(x) = 3x2²2 = 13
snow_lady [41]

Answer: 5/13

Step-by-step explanation:

f(2)=\frac{3(2)^{2}-7}{4(2)^{2}-3}=\boxed{\frac{5}{13}}

8 0
2 years ago
Find the 76th term of the arithmetic sequence 17 19 21
OLga [1]

Answer:

167

Step-by-step explanation:

4 0
3 years ago
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