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Natasha_Volkova [10]
3 years ago
9

Find parametric equations for the line through (3, 1, 4) that is perpendicular to the plane x ? y + 2z = 9. (use the parameter t

.)

Mathematics
1 answer:
scoray [572]3 years ago
6 0
Hello : here is a solution : 

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mamaluj [8]
This is a system of equations. You can solve it by substitution or elimination. I'm going to use substitution x - 2y = -4.5; add 2y to each side x - 2y + 2y = -4.5 + 2y; simplify x = 2y - 4.5 2(2y - 4.5) + 3y = 12 4y - 9 + 3y = 12 7y - 9 = 12 7y - 9 + 9 = 12 + 9 7y = 21 y = 3 <--------first answer x - 2y = -4.5 x - 2(3) = -4.5 x - 6 = -4.5 x -6 + 6 = -4.5 + 6 x = 1.5 <--------second answer Check: 2(1.5) + 3(3) = 12? 3 + 9 = 12? 12 = 12; It checks 1.5 - 2(3) = -4.5? 1.5 - 6 = -4.5? -4.5 = -4.5; It checks x = 1.5 and y = 3 <-----------Final Answer
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3 years ago
Carlos has 7 1/2 acres of farmland. He uses 1/3 of the acres to graze animals and 1/5 of the acres to grow vegetable. How many a
omeli [17]
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3 0
3 years ago
Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.
kompoz [17]

Answer:

26

Step-by-step explanation:

5 0
2 years ago
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Alja [10]
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6 0
3 years ago
Traffic along a stretch of road moves at an average speed that varies inversely with the number of cars on it. When there are 15
RSB [31]

Answer:

37.5 miles per hour

Step-by-step explanation:

The traffic along a stretch road moves at an average speed that carried inversely as the number of cars

Average speed= k/number of cars.

When there are 1,500 cars the average speed is 45

The first step is to calculate the constant k

45= k/1500

k = 1,500 × 45

k= 67,500

Therefore the average speed when there are 1,800 cars can be calculated as follows

Average speed= 67,500/1,800

= 37.5 miles per hour

Hence the average speed is 37.5 moles per hour

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3 years ago
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