<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.
Complete question :
A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.
A.) which store had the better buy
B.) how much will you pay at the store that has the better buy
Answer:
A.)David's denim has the better buy
B.) $14
Step-by-step explanation:
Jim's Jean store :
Cost of Jean = $36
Discount = 1/3 off
Discounted cost = $36 - (1/3 * $36)
Discounted cost = $36 - $12 = $24
David's Denim:
Cost of Jean = $42
Discount = 2/3 off
Discounted cost = $42 - (2/3 * $42)
Discounted cost = $42 - $28 = $14
David's denim has the better buy with a discounted price lower than the discounted price at Jim's store.
Cost at store with the better buy is $14
Answer:
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Step-by-step explanation:
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:
Replacing in the first equation:
So Sasha exercises 7 hours per week.
Max:
Max exercises 13 hours a week.
9514 1404 393
Answer:
x= 10, corresponding
Step-by-step explanation:
Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.
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Corresponding angles are congruent, so we have ...
10x +10 = 110
10x = 100 . . . . . subtract 10
x = 10 . . . . . . . . divide by 10
