Answer:
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Step-by-step explanation:
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Answer:
We have
k^2 - 25f^2 + 5kf - 25f^2 =
k^2 - (5f)^2 + 5f( k - 5f) =
( k - 5f )( k + 5f ) + 5f( k - 5f ) =
( k - 5f )( k + 5f + 5f ) =
( k - 5f )( k + 10f );
Step-by-step explanation:
will be linear if for any
and constants
, we have
Let
and
, and let
be any two scalars. Then
By definition of
, we have
Therefore
is a linear transformation.
<h3>
Answer: 56 degrees</h3>
===================================================
Work Shown:
For any triangle, the three interior angles always add to 180
(4x-12) + (6x-17) + (2x+5) = 180
(4x+6x+2x) + (-12-17+5) = 180
12x - 24 = 180
12x = 180+24 ..... adding 24 to both sides
12x = 204
x = 204/12 ..... dividing both sides by 12
x = 17
We can use this x value to find the three angles
4x-12 = 4*17-12 = 56
6x-17 = 6*17-17 = 85
2x+5 = 2*17+5 = 39
As a check,
56+85+39 = 180
which confirms we have the right x value.
We see that 56 is the middle angle, so this is the second largest angle.
Would assume:
f(n + 1) = f(n) - 2
f(2) = f(1 + 1) = f(1) - 2 = 18 - 2 = 16
<span>f(3) = f(2 + 1) = f(2) - 2 = 16 - 2 = 14
</span>
<span>f(4) = f(3 + 1) = f(3) - 2 = 14 - 2 = 12
</span>
<span>f(5) = f(4 + 1) = f(4) - 2 = 12 - 2 = 10
</span>
f(5) = 10
