The parent functuion is the absolute value funtion
f(x+c) shifting to the left by c units
f(x-c) shifting to the right by c units
f(x)+c shifting up by c units
f(x)-c shifting down by c units
Answer:
14 -2i
Step-by-step explanation:
9 + sqrt(-4) - ( -5 + sqrt(-16))
We know the sqrt of a negative number is i * sqrt(number)
9 + isqrt(4) - ( -5 + isqrt(16))
9 + 2i - (-5 + 4i)
Distribute the negative sign
9+2i +5 -4i
Combine like terms
14 -2i
Let x represent the width. Since the length is 3 more than 4 times the width, that would be equal to 3+4x. The perimeter is the sum of all sides, so that would be x+x+3+4x+3+4=86. Combine like terms, which would result in 10x+6=86. Subtract 6 from both sides giving you 10x=80. Divide by 10 giving you x=8. That means that the width is 8. The length is 3+4x. Substitute 8 for x giving you 3+4(8). Multiply, giving you 3+32, then add, which would give you 35. 35 is the length.
Answer:
36.87°
Step-by-step explanation:
cos C = 4/5
arccos C = 36.87
