|a+bi| = √(a² + b²)
-4-√2 i -> take a = -4 and b = -√2
|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
= </span><span>√[ 16 + 2<span> ]
</span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
= 3√2
the absolute value is 3√2</span>
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
The Pythagorean theorem or identity is given by
Where
- B is base of right angle traingle
- H is Hypotenuse
- P is perpendicular
Recall your d = rt, distance = rate * time
thus

notice, the first car leaves at "x" time, the other leaves on hour later, or x + 1
the first car travels some distance "d", whatever that is, thus
the second car, picks up the slack, or the difference, they're 380 miles
apart, thus the difference is 380-d
Answer:
Option B. 24 horses and 50 humans
Step-by-step explanation:
Let
x ----> the number of humans
y ----> the number of horses
Remember that
A human has one head and two legs
A horse has one head and four legs
so
----> equation A
-----> equation B
Solve the system by graphing
The solution of the system is the intersection point both graphs
The solution is the point (50,24)
see the attached figure
therefore
The number of humans is 50 and the number of horses is 24