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Sladkaya [172]
3 years ago
13

When you use the midpoint formula can you take either points as x ,y? Why or why not ?

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

Yes, we can take either points as x and y because addition is commutative

Step-by-step explanation:

First of all, the midpoint formula is given as;

(x, y) = [((x₁ + x₂)/2), ((y₁ + y₂)/2)]

For example, if we assume that we have two endpoints having coordinates as (2, 5) and (4, 7)

Now, let (2, 5) represent the first coordinate and (4, 7) represent the second coordinate.

Thus, Coordinates of midpoint = [((2 + 4)/2), ((5 + 7)/2)]

This gives;

(x, y) = (3, 6)

Now,if we change the order of the coordinates by making (4, 7) to be the first coordinate and (2, 5) to be the second coordinate. Thus;

Coordinates of midpoint = [((4 + 2)/2), ((7 + 5)/2)] = (3, 6)

We can see that the coordinates of the midpoint remains the same even after interchanging the coordinates as first and second.

This is because we are adding two numbers and addition is commutative (in commutative properties, changing the order of the operands will not change the result). Thus, it doesn't matter in which order we have the endpoints.

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Ne4ueva [31]

In 15 diffret days 15/4 inches of rain fell in April month if every day rained 1/4 of a inch .

How to find the rain fell in 15 diffret days ?

We know that rain in every day is 1/4 of a inch

So for 15 days

1/4+1/4+1/4+......15times\\=15/4

So in 15 diffret days in April rain fell is 15/4 inches.

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8 0
1 year ago
Danielle's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past
kondor19780726 [428]
The answer o the question is $38.85.
3 0
3 years ago
Sara was thinking of a number. Sara halves the number and gets an answer of 38.5. Form an equation with x for the information
lbvjy [14]

Answer:The equation wth x in the information can be written as

1/2 x = 38.5 , Upon solving, the number = 77

Step-by-step explanation:

Let the number Sara was thinking about be x

halving the number to get an answer = 38.5 can be expressed as

 1/2 X = 38.5

The equation with x in the information can be written as

1/2 x = 38.5

solving it becomes

1/2 x= 38.5

x = 38.5 x 2

x=77

The number Sara was thinking about = 77

4 0
3 years ago
I have to determine whether the sides of the triangle form a pythagorean triple.​
Crazy boy [7]

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

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3 years ago
Find the solution set of 5x<36 when x ∈ n
Margaret [11]

Answer:

5x<36

5x/5 < 36/5

x < 7.2

4 0
2 years ago
Read 2 more answers
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