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d1i1m1o1n [39]
4 years ago
9

-(18+4x)=8 hope you can help

Mathematics
2 answers:
Step2247 [10]4 years ago
4 0
-1(18+4x)=8
Then you distribute
-18-4x=8
-4x=26
X= -6.5
Natasha_Volkova [10]4 years ago
3 0
Because there is a negative sign in front of the parentheses, you have to make all the signs in the parentheses the opposite:
-18 - 4x = 8   Then you can add -4x to the other side to make it positive and then subtract 8 to the other side to work on getting x all by itself. 
-18 - 8 = 4x   Then add your two negatives (because you add negatives when you have two of them because you are kind of making the answer more negative in a way :/ ) to get -26:
-26 = 4x   Then divide by 4 to simplify and get x all by itself which leaves you with:
-6.5 = x (because when you divide a negative by a positive the quotient is negative) Check your answer by substituting -6.5 in for x in the original equation:
-[18 + 4(-6.5)] = 8   Multiply 4 times -6.5 (because you always start with the innermost parentheses) to get -26:
-(18 - 26) = 8   Change the signs because of the negative in the front:
-18 + 26 = 8    Subtract -18 from 26 to get 8
8 = 8  Correct!    So your answer is x = -6.5!
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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
the length of a rectangle is 9 inches more than the width. the perimeter is 54 inches. Find the length and width of the rectangl
Keith_Richards [23]
W is width W+9 is length W+W+9=54 2w=45 45/2 W=22.5 Width is 22.5 length is 31.5
7 0
3 years ago
Which number is such that when it's ÷ 27 30 or 45 the remainder is always three​
rewona [7]

Answer:

closest answer = 81

Step-by-step explanation:

81/27 = 3

81/30= 2.7

81/45 = 1.8

6 0
3 years ago
Sonia is hanging up decorations in the ratio of 3red: 2green: 4white . If she hangs up 135 decorations in total , how many of ea
klasskru [66]

Answer:

She hung 45reds, 30greens and 60whites

Step-by-step explanation:

If Sonia is hanging up decorations in the ratio of 3red: 2green: 4white, the total amount of different she hung is 3+2+4 = 9different colours.

Of she hung 135decorations in total, the number of red = 3/9 × 135 = 45reds

Number of green = 2/9 × 135 = 30greens

Numbe of white = 4/9 × 135= 60whites

She hung 45reds, 30greens and 60whites

8 0
3 years ago
Use the model to solve the equation 3/8 +2/8
torisob [31]
3+2=5
5/8. Hope that helps!
6 0
3 years ago
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