Answer:
x = 3/2 - 5y/4
Step-by-step explanation:
5y + 4x = 6
-5y -5y
4x = 6-5y
/4 /4 /4
x = 6/4 - 5y/4
x = 3/2 - 5y/4
Move all terms that don't contain x to the right side and solve.
Angle c (36 degree) is equal to angle a
Angle a=36 degree
a+b=180
b=180-36
b=144 degree
Angle b=144 degree
Formula: a^2+b^2=c^2
Plug in: 24^2+18^2=c^2
Exponents: 576+324=c^2
Add: 900=c^2
Square root: c=30
So the answer is 30 inches
For x +iy absolute value = √(x² + y²)
Absolute value of -4-√2i = -4-i√2, comparing x = -4, y= -√2
<span>
Absolute value = </span>√( (-4)² + (-√2)²),
(-4)² = (-4)*(-4) = 16, (-√2)² = -√2 * -√2 = 2
<span>
= </span><span>√( (-4)² + (-√2)²)
</span><span>
</span>= √(16 + 4) = √20
√20 = √(4*5) = √4 * √5 = 2√5
Absolute value = <span>2√5</span>
The correct answer is d I hope this helps