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SVETLANKA909090 [29]
2 years ago
6

HURRY! (NO LINKS PLEASE)

Mathematics
1 answer:
baherus [9]2 years ago
5 0

Hi!

To solve this, we use the slope equation \frac{y1-y2}{x1-x2}

With numbers in the equation it looks likes this:

\frac{9-6}{1-6} = \frac{3}{-5} or \frac{-3}{5}

<u><em>Therefore your answer is D.</em></u>

<u><em></em></u>

Hope this helps! :D

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Read 2 more answers
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho
trasher [3.6K]

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

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