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Licemer1 [7]
3 years ago
6

Solve for x. - 1/2(x + 5) = -10 A) -25 B) -10 C) 0 D) 15

Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

<h2>x = -25</h2>

Step-by-step explanation:

Let us break this down step by step.

<h3>Step 1: Remove the Parentheses </h3>

1/2x + 2.5 = -10

<h3>Step 2: Subtract 2.5</h3>

1/2x = -12.5

<h3>Step 3: Divide by 1/2 & First Answer</h3>

x = -25

<h3>Step 4: Check</h3>

1/2(-25) + 2.5 = -10

-12.5 + 2.5 = -10

-10 = -10 <em>Correct</em>

<h3>Step 5: Final Answer</h3>

Final answer is A. -25.

<em>PLEASE MARK BRAINLIEST</em>

Airida [17]3 years ago
4 0

Answer:

A) -25

Step-by-step explanation:

1/2( x + 5 ) = -10

2( 1/2( x + 5 ) ) = 2( -10 )

x + 5 = -20

x + 5 - 5 = -20 - 5

x = -25

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5 0
4 years ago
The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
                "m" = the slope of the line; and is the co-efficient of "x" ;
                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
  " y = mx + b " ;  as:
______________________________________________________

   " y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
________________________________________
   "Ax + By + C = 0 " ; 
________________________________________
So; given: 
____________________________________
 " y = (-1/3)x + (10/3) " ;
____________________________________
  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
____________________________________
            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

↔  -1x − 3y − 10 = 0 ;  

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

     -1 * {-1x − 3y − 10 = 0} ; 

to get:
______________________________________________________
   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
   →  " Ax + By + C = 0 " .
______________________________________________________
6 0
4 years ago
Read 2 more answers
Maya cut 3 1/4 yards of fishing line from a new reel. How much is this in inches
ikadub [295]

1 yard = 3 feet:

3.25 yards x 3 feet per yard = 9.75 feet.

1 foot = 12 inches:

9.75 feet x 12 inches per foot = 117 inches.

6 0
3 years ago
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