X^2 - 13x + 40
as you know 40 = 5 x 8 or 40 = (-5) x (-8)
since -13x has -13 as coefficient so they should be (-5) and (-8)
x^2 - 13x + 40 = (x - 5)(x - 8)
(x - 5)(x - 8)
= x ^ 2 - 5x - 8x + 40
x ^ 2 - 13x + 40
so answer
D. (x - 5)(x - 8)
Answer:
<u>______________________________________________________</u>
<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>
For any right angled triangle with one angle α ,
or 
or 
<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>
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or 
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or 
<u>______________________________________________________</u>
Now , lets come to the question.
In a right angled triangle , let one angle be α (in place of theta) .
So , lets solve L.H.S.



= R.H.S.
∴ L.H.S. = R.H.S. (Proved)
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
8x + 14y = 4 ...1
-6x - 7y = -10 ...2
...2 × 2 in 2 sides of the equation
-12x -14y = -20 ...3
...1 + ...3
8x + 14y +(-12x -14y) = 4 +(-20)
8x + 14y - 12x -14y = 4 - 20
-4x = -16
x = (-16)/(-4)
= 4
replace x in ...1 or ...2 you will reserve y value
and answer in the term of (x,y)
Answer:
We can take 2 plates , 3 plates or 6 plates.
Step-by-step explanation:
1 dozen = 12 numbers
Total number of cookies = 42
Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.
- If we take 2 plates , there can be 21 cookies in each.
- If we take 3 plates , there can be 14 cookies in each.
- If we take 6 plates , there can be 7 cookies in each.
These are the 3 possible cases.
Since there cannot be broken pieces, no other combination is possible.