The first question's answer is adjacent angles. The second question's answer is 45
<span>3/4(4c+16)=2c+9
We simplify the equation to the form, which is simple to understand
<span>3/4(4c+16)=2c+9
Reorder the terms in parentheses
<span>+(+3c+12)=2c+9
Remove unnecessary parentheses
<span>+3c+12=+2c+9
We move all terms containing c to the left and all other terms to the right.
<span>+3c-2c=+9-12
We simplify left and right side of the equation.
<span>+1c=-3
We divide both sides of the equation by 1 to get c.
<span>c=-3
Hope this helped! :)
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If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.
When you look at it that way, your two points are simply two points on the x-y plane:
4 - i ===> (4, -1)
-2 + 3i ===> (-2, 3) .
The distance between them is
D = √ (difference in 'x')² + (difference in 'y')²
= √ (6)² + (4)²
= √ (36 + 16)
= √ (52)
= 7.211 (rounded)
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