Answer:
3.5 kilometers
Step-by-step explanation:
35000/100 = 3500
3500/1000=3.5
Answer: m = 16
Step-by-step explanation:
2m² + 16 = 2m
2m² - 2m = 16
m = 16
Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.
Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).
Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)
F-1:
y=x+9
y-9=x
x-9=f-1
f-1(14)=14-9=5 f-1(5)=5-9=-4 f-1(-5)=-5-9=-14 f-1(25)=25-9=16
f(14)=14+9=24 f(5)=5+9=14 f(-5)=9-5=4 f(25)=25+9=34
In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.