1) m<DCB = <D + <C + <B
180 = 25 + 90 + <C (Angle Sum Property)
180 = 115 + <C
180 - 115 = <C
65 = <C
The correct answer is: [D]: " 4x² − 12x − 4 " .
___________________________________________________
Explanation:
___________________________________________________
Given:
___________________________________________________
" (16x² − 16) + ( -12x² − 12x + 12) " ; Simplify.
___________________________________________________
Note the "distributive property of multiplication:
___________________________________________________
a(b + c) = ab + ac ;
a(b − c) = ab − ac .
___________________________________________________
So we can rewrite the expression as:
" (16x² − 16) + 1( -12x² − 12x + 12) " ;
{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Let us examine the following part of the expression:
_________________________________________________
" + 1 ( -12x² − 12x + 12 ) " ;
Using the distributive property of multiplication:
" + 1 ( -12x² − 12x + 12 ) = (1 * -12x²) − (1 * 12x) + (1 * 12) ;
= " − 12x² − 12x + 12 " ;
_________________________________________________
Now, bring down the other part of the expression; & rewrite:
_________________________________________________
→ " (16x² − 16) − 12x² − 12x + 12 " ;
→ " 16x² − 16 − 12x² − 12x + 12 " ;
Now, combine the "like terms" :
+ 16x² − 12x² = 4x² ;
− 16 + 12 = -4 ;
and we have " − 12x" ;
So we can rewrite the expression as:
_______________________________________________________
→ " 4x² − 12x − 4 " ;
→ which is: "Answer choice: [D]: " 4x² − 12x − 4 <span>" .
</span>_______________________________________________________
Answer:
a=20
Step-by-step explanation:
4a+8-2a-3=45
-8 on both sides
4a-2a-3=37
+3 on both sides
4a-2a=40
2a=40
a=20
Y=3x+3
They did 1/3 instead of 3/1
