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AnnyKZ [126]
3 years ago
8

Y =1/3 x – 10 2x + y = 4 what is the solution to the system of equations

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

x equals 6 and y equals -8

Step-by-step explanation:

y = 1/3 x - 10 _____(1)

2x + y = 4 ________(2)

put (1) into (2)

2x + 1/3 x - 10 = 4

multiply through by 3

6x + x - 30 = 12

7x - 30 = 12

7x = 42

x = 42/7

x equals 6

put x = 6 into (1)

y = 1/3x - 10

y= 1/3 (6) - 10

y = 2 - 10

y = -8

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So, the answer is 3.
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A convex parabola is shown in a coordinate plane. The parabola connects the points left-parenthesis negative 4.5 comma 12 right-
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B. (-3 + 3)(-3 - 4) = 0

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8 0
3 years ago
URGENT!! DUE IN 15 MIN!!<br> *don't mind the answer I chose*
prisoha [69]
I think its D but im not sure
8 0
3 years ago
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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  

           

6 0
2 years ago
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