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lorasvet [3.4K]
3 years ago
13

He price of a desktop computer decreases from $1360 to $1020 what is the percentage decreasing in its price ?

Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0

Answer:

Dec % = 340/1360*100= 25%


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What is the length of the conjugate axis? (y-2)^2/16 -(x+1)^2/144=1
aleksandr82 [10.1K]

Answer: 24

A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.

the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.

The general equation for the vertical hyperbola is

            [ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1

The conjugate axis of the vertical hyperbola is y = k

Length of the conjugate axis  = 2b

According to the question k = 2, h = -1, a = 4, b = 12

Length of the conjugate axis = 2b = 2 * 12  = 24

Learn more about hyperbola here :

brainly.com/question/3351710

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7 0
2 years ago
Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
2 years ago
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