Hello!
The above expression exemplifies a “complex number.” A complex number takes the following form:
a + bi
In this case, A is equal to (5) while B is equal to (-3). To find the modulus of a complex number, we will need to use the following formula (let “x” represent the modulus):
x = √(a² + b²)
Insert any known values into the formula above:
x = √((5)² + (-3)²)
Simplify the right side of the equation:
x = √(25 + 9)
x = √34
We have now proven that the modulus is equal to √34.
I hope this helps!
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m
F(3)= 3(3)-1
F(3)= 8
Gf(x)=2x+4
0= 2x+4
Subtract 4 from each side
-4=2x
Divide each side by 2
-2=x
This is the definition of a rational number.