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monitta
3 years ago
14

the distance formula is equivalent to the pythagorean theorem if you are trying to find the distance between a point in the plan

e and the orgin is this true or false???
Mathematics
2 answers:
anygoal [31]3 years ago
6 0

Let the point be (x,y) and the origin is (0,0).

Distance formula is

d = \sqrt{ (x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}

Substituting the points,we will get

d = \sqrt{ (0-x)^2 + (0-y)^2 }
\\
d = \sqrt{x^2 +y^2}

Squaring both sides

d^2 = x^2 + y^2
\\
x^2 + y^2 = d^2

And the pythagorean theorem is

a^2 +b^2 = c^2

And the above equation we obtained in in the form of pythagorea identity .

So the given statement is true .

user100 [1]3 years ago
5 0
The answer to this is true for apex

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5x-4y=19<br> x+2y=8<br> solve the simaltaneous equation
STatiana [176]

Answer:

( 5, 3/2 )

x = 5

y = 3/2

Step-by-step explanation:

5x - 4y = 19

x + 2y = 8

-------------------

2(x + 2y = 8) = 2x + 4y = 16

----------------------

5x - 4y = 19

2x + 4y = 16

7x = 35

÷7    ÷7

x = 5

-----------------------

x + 2y = 8

5 + 2y = 8

-5          -5

2y = 3

÷2   ÷2

y = ( 3/2 )

I hope this helps!

8 0
2 years ago
Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.
Ahat [919]

Answer/Step-by-step explanation:

<em><u>*An average person on Earth needs 8.5 hours of sleep each night*</u></em>

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4 0
2 years ago
(1 point)
inn [45]
22 ft below sea level
5 0
3 years ago
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i need help asap!!How far can Lance Armstrong travel if he averages 28 miles per hour for 3 hours and 45 minutes?
Murrr4er [49]

Answer:

105 Miles.

Step-by-step explanation:

The first important thing to recognize is that 45 minutes is equal to .75 of an hour.  (3/4).


Now, it's a rate * time problem.


28 Miles/Hour * 3.75 hrs = 105

7 0
3 years ago
Jeanette can walk 1 km in 11 minutes. At the same rate, how far can she walk in 55 minutes?
gladu [14]
11 minutes = 1 km

11 x 5 = 55 minutes
1 x 5 = 5 km.

She can walk 5 km in 55 minutes.
3 0
3 years ago
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