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Effectus [21]
3 years ago
11

Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

The equation of the perpendicular line is 2x-4y -12=0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the equation of the line is 4x+2y-12=0

The equation of the perpendicular line b x -ay +k=0

The equation of the perpendicular line  2x -4y +k=0

This line passes through the point (8,1)

                           2(8)-4(1)+k=0

                      ⇒ 16 -4+k=0

                    ⇒   12 +k=0

                           k =-12

The equation of the perpendicular line is 2x-4y -12=0

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Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

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Step-by-step explanation:

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