Step-by-step explanation:
By Pythagoras' theorem,
12^2 = 11^2 + height^2
height = ±√12^2 - 11^2 (rej -ve value since height > 0)
height = 16.279 (5sf) = 16.3 (nearest tenth place)
Topic: Pythagoras theorem
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Answer:
43
Step-by-step explanation:
Given
2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression
= 2(7 - (- 2)) + 5(7 + (- 2))
= 2(7 + 2) + 5(7 - 2)
= 2(9) + 5(5)
= 18 + 25
= 43
Step-by-step explanation:
if there is no typo, then that is
y = 1 + 5 = 6
y = 6
has no term in x.
that means 6 is the constant result of the line function, no matter what x value we pick.
and that means this is a horizontal line (parallel to the x-axis) going through the point y=6 or (0, 6).
remember that the slope is the ratio "y coordinate change / x coordinate change".
but y is not changing at all, the change or difference is always 0 no matter what points we pick on the line.
and so, the slope ratio is always "0/...". and that is 0.
so, the slope of that line is 0.
but if there is a typo, then please know : the slope of a line
y =ax + b
is always a (the factor of x).
Answer:
Period is 2π
Horizontal shift = 0
Step-by-step explanation:
We know that 
and as 
, so, we can write 
Therefore, the if 
then (Answer)
Now, the period of 
is 2π, hence the period of 
is also 2π. (Answer)
Again. 
, hence, the horizontal shift of is 0. (Answer)
