Hey!
It says that it is the sum of 3 consecutive odd integers right?
So then we give these numbers some variables to work with like so...
x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number
now set all of them equal to 207
x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u /> <u>x + 2 = 69</u><u /> <u /><u /> <u>x + 4 = 71
</u><u>
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Answer: A 65
Explanation: using PEMDAS you substitute 4 in for k and add 9+4 because it’s in parenthesis. Then you multiply the 13 you get from that by 5 and get 65.
Answer:
Step-by-step explanation:
x^2 - 14x + 45
(x - 9)(x - 5)
Answer- r= 7\5 hope this helps!!
Answer:
26.
Step-by-step explanation:
(a + b)^2 + (a+ c)^2 + (b + c)^2 = a^2 + b^2 - 2 ab + a^2 + c^2 - 2ac + b^2 + c^2 - 2bc
= 2( a^2 + b^2 + c^2 ) - 2( ab + ac + bc)
=<em> </em><em>5</em>0 - 2(ab + ac + bc).............. (1).
(a + b + c)^2 = a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2
= a^2 + b^2 + c^2 + 2(ab + ac + bc)
= 25 + 2(ab + ac + bc)
But (a + b + c)^2 = 7^2 = 49. So:-
49 = 25 + 2(ab + ac + bc)
2(ab + ac + bc) = 49 - 25 = 24.
Substituting for this in (1) above:
(a + b)^2 + (a + c)^2 + (b + c)^2 = 50 - 24 = 26 (answer).
