Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:
here 
so 
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:
Take 
therefore 
Now take 
and take 
therefore 
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.
Answer:
- modulus: 3√2
- argument: -3π/4 (or 5π/4)
Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
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<h3>rectangular form</h3>
The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:
<h3>polar form</h3>
The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
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modulus∠argument = (3√2)∠(-3π/4)
Considering that each cube is 1 cubic centimeter, the volume of the composite figure should be the sum of the cubes. The volume is 12+10 or 22 cubic centimeters.
P = 2(L + W)
160 = 2(50 + W)
160 = 100 + 2W
160 - 100 = 2W
60 = 2W
60/2 = W
30 = W
so length is 50 and width is 30
A = LW
A = (50)(30)
A = 1500 ft^2 <===
