Answer:
$503.35
Step-by-step explanation:
you just have to plug in the value of each variable into the equation
i hope this helps :)
In the expression, the real number a equals 12 and the real number b equals -16.
<h3>How to explain the information?</h3>
It should be noted that the expression given is:
= (4 - 2i)²
Therefore, we need to expand the expression. This will be:
= (4 - 2i)(4 - 2i)
= 16 -8i -8i + 4i²
= 16 -16i +4i²
Substitute -1 for i²
= 16 - 16i + 4(-1)
= 16 - 16i - 4
= 12 - 16i
Therefore, the value of the expression is 12 - 16i.
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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.
(3.5, 1.5) are the coordinates
hope this helps
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
