Answer:
A. 12
Step-by-step explanation:
i= use complicated conjugate to search out definite quantity of 8 + 12i
i = 12i
i= twelve × ei 90°
i = twelve × (cos 90° + i sin 90°)
r = |i| = twelve
If 101 use 3/5 for his Artwork, then the space remaining for 102 is:
5/5 - 3/5 = 2/5 (since the whole wall represents 100% or 5/5 or 1)
16. M = 1/5
17. M =3
18. Slope 1/4 and y-intercept (0,2)
5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)
Perpendicular line always have slopes that are negative reciprocals of one another. Mathematically,
m1*m2=-1
So to be perpendicular to the line given, let's rearrange it to the point slope form of a line...
3y=6x ?3 (not sure what you wanted to type there)
anyway isolating y by dividing both side by three will leave 2x where 2 is the slope.
So for the other line to be perpendicular, m*2=-1, m=-1/2, now we have:
y=-x/2 +b, we can now you the point given to solve for b
4=-2/2 +b
4=-1+b
b=5 so
y=-x/2 +5 or more neatly
y=(10-x)/2
