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tatiyna
3 years ago
7

Given: (−10,2) and (3,5), the midpoint is???

Mathematics
2 answers:
Rudik [331]3 years ago
5 0

Answer:

M=(−7/2,7/2).

Step-by-step explanation:

Gennadij [26K]3 years ago
3 0

Answer:

\huge{ \boxed{ \sf{( \frac{ - 7}{2}  \:,  \:  \frac{7}{2})}}}

Step-by-step explanation:

\star{ \sf{Let \: the \: points \: be \: A \: and \: B}}

\sf{A( - 10 ,\: 2) \longrightarrow{ \: (x1 \:, y1)}}

\sf{B(3 \:, 5) \:  \longrightarrow} \:  \sf{(x2 \:, y2)}

\underline{ \text{Finding \: the \: midpoint}} :

\boxed{ \sf{Midpoint \:  =  \: ( \frac{x1 + x2}{2}  \: , \frac{y1 + y2}{2} )}}

\mapsto{ \sf{Midpoint = ( \frac{ - 10 + 3}{2}  \: , \frac{2 + 5}{2} }})

\text{Remember!} :

  • The positive integers are always added and posses the positive ( + ) sign.
  • The negative integers are always added but posses the negative ( - ) sign.
  • The negative and positive integers are always subtracted but posses the sign of the bigger integer.

\mapsto{ \sf{Midpoint = ( \frac{ - 7}{2} , \:  \frac{7}{2} }})

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

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james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number
zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0
3 years ago
use an equation to write each fraction as multiple of unit fraction 1/6 + 1/6 + 1/6 + 1/6 + 1/6 how do you get to 5/6
weeeeeb [17]

Answer:

Equation: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6

Step-by-step explanation:

Unit means 1

Therefore a each 1/6 is the multiple unit of 5/6 because if we had all the 1/6 together, you get 5/6. There is 1 over 6 which you can tell that it is a unit fraction.

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Step-by-step explanation:

Mean= Total value of data/Number of datas given

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