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kvv77 [185]
3 years ago
7

Find the point on the parabola y^2 = 8x at which the ordinate is double the abscissa.​

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

Answer:

Step-by-step explanation:

Let's make a complex of functions

y^2 = 8x

y = 2x

Now let's solve it

(2x)^2 = 8x

4x^2 - 8x = 0

4x(x - 2) = 0

x = 0, 2

y = 0, 4

So the answer is (2, 4)

Hope you like it, study well

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4 years ago
A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 50 minutes of dyeing
lina2011 [118]

Answer: 9 rolls of cloth A and 44 roles of cloth B

Step-by-step explanation:

Let x represent the number of rolls of cloth A that can be dyed and dried.

Let y represent the number of rolls of cloth B that can be dyed and dried.

A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that

50x + 55y = 2880- - - - - - - -1

A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that

45x + 30y = 1740- - - - - - - -2

Multiplying equation 1 by 45 and equation 2 by 50, it becomes

2250x + 2475y = 129600

2250x + 1500y = 87000

Subtracting, it becomes

975y = 42600

y = 42600/975

y = 44

Substituting y = 44 into equation 1, it becomes

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x = 9

4 0
3 years ago
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