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damaskus [11]
4 years ago
5

Help i’m taking a test and i’m being timed

Mathematics
1 answer:
Nuetrik [128]4 years ago
4 0

Answer:

5.4

Step-by-step explanation:

Using the pythagorean theorem (a^2 + b^2 = c^2), we can do 2^2 plus 5^2, which is 4 + 25, which simplifies to 29. Now we have 29 = c^2

In order to find c (the hypotenuse), we need to take the square root of both sides to find c. Thus, c = sqrt 29 or 5.385...

Hope this helps!

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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility
pashok25 [27]

Answer: a) D = √148

                 m = (-5,4)

b) D = √241

m = (1, 7.5)

c) D = √20

m = (0,-4)

Step-by-step explanation:

Distance and Midpoint Formulas

distance = D = √[(x₂-x₁)² + (y₂-y₁)²]

Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)

(−4, 10) and (−6, −2)

D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =

√[4 + 144] = √148

m = ((-6+(-4))/2 ; (-2+10)/2

m = (-10/2 ; 8/2)

m = (-5,4)

(−1, 15) and (3, 0)

D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =

√[16 + 225] = √241

m = ((3+(-1))/2 ; (0+15)/2

m = (2/2 ; 15/2)

m = (1,7.5)

(2, −3) and (−2, −5)

D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =

√[16 + 4] = √20

m = (-2+2))/2 ; (-5+(-3))/2

m = (0/2 ; -8/2)

m = (0,-4)

3 0
3 years ago
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