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CaHeK987 [17]
2 years ago
8

What is the midpoint of the segment shown below?

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

Answer:

Mid\ points = (\frac{5}{2} , \frac{7}{2}).

Step-by-step explanation:

Given : End points of line are (3, 5) and  ( 2 , 2) .

To find : What is the midpoint of the line .

Solution : We have given

End  points(3, 5) and  ( 2 , 2) .

Mid\ points = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) .

Here ,

x_{1} = 3.\\x_{2} = 2.\\y_{1} = 5.\\y_{2} = 2.

The plug the values in given formula.

Mid\ points = (\frac{3+ 2}{2} , \frac{ 5+2}{2})

Mid\ points = (\frac{5}{2} , \frac{7}{2}).

Therefore, D).Mid\ points = (\frac{5}{2} , \frac{7}{2}).

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Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c O
Bas_tet [7]

Answer:

  1. addition property of equality
  2. integers are closed to addition
  3. identity element
  4. multiplication property of equality
  5. commutative property of multiplication; reals are closed to multiplication; identity element

Step-by-step explanation:

<u>Given</u>:

  c/2 -5 = 7

  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

  Step 3: c/2 = 12

  Step 4: 2(c/2) = 12(2)

  Step 5: c = 24

<u>Find</u>:

  The property that justifies each step of the solution.

<u>Solution</u>:

  Step 1: addition property of equality (lets you add the same to both sides)

  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

  Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

8 0
2 years ago
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A greengrocer sells melons at a profit of 37.5% on price he pays for it.What is the ratio of cost price to selling price
gavmur [86]
S-selling price
c-cost price
p-profit
p=37,5%
\frac{s-c}{s}*100%=37,5%  /:100%
\frac{s-c}{s}=0,375   /*s
s-c=0,375*s  /-s
0-c=-0,625*s /:(-s)
\frac{c}{s}=0,625



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2 years ago
X3+y3+z3=k, what replaces k?
Pachacha [2.7K]

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you

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Savanna watches 21 hours of TV per week what is her daily rate
Y_Kistochka [10]

Answer:

3 hours of tv per day

Step-by-step explanation:

there are 7 days in a week

21/7 = 3

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Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red
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5 people.

14 + 9 + 12 + 13 + 12 = 60 total pencils.

60 pencils /  5 people = 12 pencils each.

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2 years ago
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