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12345 [234]
2 years ago
13

Find the midpoint of A and B where A has coordinates (2,9)

Mathematics
1 answer:
timofeeve [1]2 years ago
7 0

Answer:

(\dfrac{9}{2}, \dfrac{13}{2})

Step-by-step explanation:

The coordinates of A = (2,9)

The coordinates of B = (7,4)

Let M (x,y) be the mid point of A and B.

M(x,y)=(\dfrac{x_1+x_2}{2}),(\dfrac{y_1+y_2}{2})\\\\=\dfrac{2+7}{2}, \dfrac{9+4}{2}\\\\=(\dfrac{9}{2}, \dfrac{13}{2})

So, the coordinates of mid point of A and B is (\dfrac{9}{2}, \dfrac{13}{2}).

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180 = −9d + 9 d = I need to find what d is
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-19

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PLEASE LOOK AT THIS multiple choice, thanks.
Y_Kistochka [10]

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The answer should be y= -2x + 8

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3 years ago
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Anna007 [38]

h(-3) - h( - 2) = -  \frac{5}{  8} \\ \\

Step-by-step explanation:

\boxed{h(x) =  \frac{2 {x}^{2}  - x + 1}{3x - 2}}

h(2) =  \frac{2 {(2)}^{2}  - (2) + 1}{3(2) - 2}

h(2) =  \frac{2 {(4)}  - 2 + 1}{6 - 2}

h(2) =  \frac{ 8  - 1}{4}

h(2) =  \frac{7}{4}

h( - 3) =  \frac{2 {( - 3)}^{2}  - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) =  \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) =  \frac{18 + 4}{ - 11} \\ h( - 3) =    \frac{22}{  - 11} \\ h(-3) = -2

h( - 2) =  \frac{2 {( - 2)}^{2}  - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) =  \frac{2 (4)  +  2+ 1}{- 6 - 2} \\ h( - 2) =  \frac{8 +  3}{- 8} \\ h( - 2) =  \frac{11}{- 8}

h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8}

5 0
3 years ago
Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the
Neko [114]

Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be = 2x - 12

When Jim gets 12 books from Sam, his books will be = x + 12

And as per given question, they both now have equal books, so

2x - 12 = x + 12

Adding 12 in both sides

2x - 12 + 12 = x + 12 + 12

2x = x + 24

Subtracting x from both sides

2x - x = x + 24 - x

x = 24

It means Jim has number of books = 24

So, Sam has numberof books = 24 * 2 = 48

So, they have number of books together = 24 + 48 = 72 : Answer

Hope it will help :)


5 0
3 years ago
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