Answer:
z = 
Step-by-step explanation:
Given that z is directly proportional to x³ and inversely proportional to y²
Then the equation relating them is
z = ← k is the constant of proportionality
For x +iy absolute value = √(x² + y²)
Absolute value of -4-√2i = -4-i√2, comparing x = -4, y= -√2
<span>
Absolute value = </span>√( (-4)² + (-√2)²),
(-4)² = (-4)*(-4) = 16, (-√2)² = -√2 * -√2 = 2
<span>
= </span><span>√( (-4)² + (-√2)²)
</span><span>
</span>= √(16 + 4) = √20
√20 = √(4*5) = √4 * √5 = 2√5
Absolute value = <span>2√5</span>
Answer:
Step-by-step explanation:
<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>
- x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
- 2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
- x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2
<u>Common solution of the three inequalities above is:</u>
Correct choice is C
Answer:
Infinitely Many Solutions
Step-by-step explanation:
There can be infinite solutions to this problem
Here are some examples
3 4
6 8
12 16
24 32
48 64
96 128
To get a solution, just multiply both numbers by the same term. I multiplied by 2 each.
Hope this helps :)
-jp524
