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luda_lava [24]
3 years ago
9

1 question pleasee i need this asap!! thank you :D

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0
The correct answer is:  [A]:  " x = 6 " or  " x = - 9 " .
________________________________________________________
Explanation:
________________________________________________________
Given the following equation:
________________________________________________________
   
   " x² + 3x – 54 = 0 " ;  Solve for "x" ; 
_____________________________________________________
Check if the part of the equation on the "left-hand side" can be "factored":

   " x² + 3x – 54 " ; 

→  We see the " + 3x " and the " – 54 "

Factors of " -54 " that add up to " +3" ;

Let us try:  " -9, 6" ;   →  " -9 + 6 = -3 " ;  →  " -3 ≠ +3 ;

Let us try:  " 9, -6" ;   →  " 9 + (-6) = 9 – 6 = 3 " ;   YES!
       →   {that is:  " +9 , -6 "} ; 


So, we can rewrite the entire equation:

→  " (x + 9)(x – 6) = 0 " ;

→  " x = -9 " ;  or,  " x = 6 " ; which is:  

→  Answer choice:  [A]:  " x = 6 "  or  " x = - 9 " .
______________________________________________________
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P divided by 5 equals -32
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Answer:

p = -160

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
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Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Multiply 5 on both sides:                     p = -160
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Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

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BC = 68-17

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The length of BC is 51 units.

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