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Norma-Jean [14]
3 years ago
14

Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?

Mathematics
2 answers:
Dafna1 [17]3 years ago
6 0
Distribute the minus sign into the second parenthesis to get 7x-5-3x+2.
Then combine like terms to get 4x-3
Nastasia [14]3 years ago
5 0
(7x - 5 ) - ( 3x - 2) 

7x-5-3x+2 

(7x-3x)-5+2          \ Gather \ like \ terms  

4x-5+2 

4x-3


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Complete the equation of the line through (2, -2) and (4,1)
Ann [662]

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

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3 years ago
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