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Citrus2011 [14]
3 years ago
10

Find the equation of the median from B, in ABC whose vertices are A(1, 5), B(5, 3), and

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Midpoint of AC = M(-1, 1.5)

Slope of BM = (1.5 - 3)/(-1 - 5) = ¼

Point-slope equation for line of slope ¼ that passes through B(5,3):

y-3 = ¼(x-5)

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What is 4x - y = - 20 in y=mx+b form
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When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)
sasho [114]
The correct answer choice is:  
______________________________________________
  [C]:  "<span>Multiply each side by −8, subtract 35 from each side" .
_______________________________________________
Explanation:
_______________________________________________
Given:  "</span>\frac{-1}{8} (x + 35) = -7 " ; 

We can START by multiply each side of the equation by "-8"  to completely get rid of the "\frac{-1}{8}"  fraction on the "left-hand-side" of the equation:

since:  "\frac{-1}{8}  * -8 = 1 ;  and:  "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" \frac{-1}{8}  * -8 =  

\frac{-1}{8} * \frac{-8}{1} =


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____________________________________________________
So,  given:  "\frac{-1}{8} (x + 35) = -7 " ; ; 

We multiply each side of the equation by "-8" ; 

→    -8 * { \frac{-1}{8} (x + 35) }  =  -7 * {-8) " ; 

→    1 (x + 35)  = 56 ; 

     →  x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ;  to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

     →  x + 35 − 35 = 56 <span>− 35 ;

     </span>→  x = 21 .
______________________________________________________
So, as explained, the correct answer is:  
______________________________________________________
   Answer choice:  [C]:
______________________________________________________
     
"<span>Multiply each side by −8, subtract 35 from each side" .
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</span>
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Answer:

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