Answer:
Step-by-step explanation:
So your answer according to these hints I provided for you, should lead you to your answer, which should in other words be,
The 1st. The 2nd. And I would say...The 4th. The reason why I say not the 3rd one is because the 4 has nothing to do with the 8, the 3 does because it's divided by it.
If it's not useful, feel free to report for mistake in answer. -_-
sin(x+y)=sin(x)cos(y)-cos(x)sin(y)
also, remember pythagorean rule, 
given that sin(Θ)=4/5 and cos(x)=-5/13
find sin(x) and cos(Θ)
sin(x)
cos(x)=-5/13
using pythagorean identity
(sin(x))^2+(-5/13)^2=1
sin(x)=+/- 12/13
in the 2nd quadrant, sin is positve so sin(x)=12/13
cos(Θ)
sin(Θ)=4/5
using pythagrean identity
(4/5)^2+(cos(Θ))^2=1
cos(Θ)=+/-3/5
in 1st quadrant, cos is positive
cos(Θ)=3/5
so sin(Θ+x)=sin(Θ)cos(x)+cos(Θ)sin(x)
sin(Θ+x)=(4/5)(-5/13)+(3/5)(12/13)
sin(Θ+x)=16/65
answer is 1st option
The complete question in the attached figure
we know that
<span>the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates
</span>
in this problem
the point <span>(−1.5, 6)
the </span>absolute value of x-coordinates is 1.5
hence
the distance is 1.5
therefore
the answer isthe option B) the point (1.5,-3)
Final answer:
Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.
Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.
Step-by-step explanation:
Step 1
It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.
Step 2
This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.