Answer: x = 2 ; -11 .
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Explanation:
_____________________________________________
Given the equation:
_____________________________________________
x² + 9x −<span> 22 = 0 ; Solve for: "x" ;
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Let us factor the "left-hand side" of the equation:
_____________________________________________
"x</span>² + 9x −<span> 22" ;
_____________________________________________
What are the factors of "-22"" that add up to "positive 9" ?
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Let us list the factors of "-22" :
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-2, 11; </span>→ -2 + 11 = 9 ;<span>
-11, 2; </span>→ -11 + 2 = -9 ;<span>
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So we have: "-2" and "11" ;
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So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
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We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ;
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x + 11 = 0 ;
Subtract "11" from each side of the equation;
x + 11 − 11 = 0 − 11 ;
x = -11 ;
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Answer: x = 2 ; -11 .
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Answer: B
Step-by-step explanation:
∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.
Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.
Answer:
x-3
Step-by-step explanation:
(x
2
−9)=(x−3)(x+3)
(x
3
−27)=(x
3
−3
3
)=(x−3)(x
2
−3x+9)
(x
2
−8x+15)=(x−3)(x−5)
∴ H.C.F. of (x
2
−9),(x
3
−27) and (x
2
−8x+15) is x−3.
Answer:
Olivia has 240.
Step-by-step explanation:
Amelia took 36 and there were 288 left over. A ratio of 1:5 with 288 would be 48 and 240 so therefore, Olivia has 240.
Answer: 345
Step-by-step explanation: 1354-574-346=434-89= 345
