<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
<h3>7 students in one group </h3><h3>may it's helpful</h3>
Answer:
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Step-by-step explanation:
Answer: y=1/3x+11/3
Step-by-step explanation:
Since we given the slope, we can write a slope-intercept form equation.
y=1/3x+b
Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.
6=1/3(7)+b
6=7/3+b
11/3=b
Now that we have our y-intercept, we can complete our equation.
y=1/3x+11/3
Answer:
Step-by-step explanation:
1. if the points (-4;2) and (12;6) belong to the required line, then it is possible to make up its equation:
2. if the common form of line in slope-interception form is 'y=s*x+i' (where s - slope, i - interception), then after evaluation of the equation in item 1:
4(y-2)=x+4; ⇒ 4y=x+12; ⇔