(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Answer:
[14] 139
[15] 90
[16] 41
[17] 49
[18] 139
[19] 131
Step-by-step explanation:
[14] Since m ∠ CEB is vertical with m ∠ AED = 139
[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree
[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41
Note: vertical angles are angles opposite each other where two lines cross.
[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49
[18] To Find m ∠CEB we have to subtract from m ∠ DEB
180 - 41 = 139
[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41
Then m ∠ AEF = 90 +41=131
<u><em>~Lenvy~</em></u>
Answer:answer is 17
Step-by-step explanation:
8(3) - 7
24-7
17
Answer:
$2.88
Step-by-step explanation:
36 times .08 = 2.88
Answer:
Therefore we can say that 98 boxes will be needed to hold all the paperweights.
Step-by-step explanation:
i) there are 1657 souvenir paperweights that need to be packed in boxes.
ii) each box will hold 17 paperweights
iii) therefore the number of boxes that will be needed are
= 
= 
= 97.471
iv) Therefore we can say that 98 boxes will be needed to hold all the paperweights.
