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Nastasia [14]
3 years ago
14

The straight line 2x + 3y = 7 meets the curve

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Step-by-step explanation:

xy + 10 = 0. => y = -10/x.

2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.

When -10/x = -2/3 x + 7/3,

-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.

=> 2x² - 7x - 30 = 0

=> (2x + 5)(x - 6) = 0

=> x = -2.5 or x = 6.

dy/dx = d/dx [-10/x] = 10/x².

When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.

When x = 6, dy/dx = 10 / (6)² = 5/18.

Hence the gradients at the points are 1.6 and 5/18.

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The perimeter of a rectangular field is 314 m.
Ksivusya [100]

Answer:

85m

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

b=72m, l=?

perimeter =314m

314=2(l+72)

314/2= l+72

157=l+72

l=157-72

l=85m

3 0
2 years ago
If 1/3 = 2 , 2/3 = ?
Andrei [34K]

Answer:

2/3 = 1.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me What is 7/10 + 20/100
marusya05 [52]
100 is the common denominator so

70/100 + 20/100 90/100 = 9/10
5 0
3 years ago
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natali 33 [55]

Answer:

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4 0
3 years ago
Solve each system of equation using any method.<br> 7 x + y = 5 2x - y = 4
nexus9112 [7]

Answer:

x = 1

y= -2

Step-by-step explanation:

to solve this system of equation , simultaneously using the substitution method

we say let

7 x + y = 5 ............................................. equation 1

2x - y = 4 ................................................... equation 2

from equation 2

2x - y = 4 ................................................... equation 2

2x - 4 = y

y = 2x -4.......................................................... equation 3

put the value of the y = 2x -4 into equation 1

7 x + y = 5 ............................................. equation 1

7x + 2x - 4 = 5

9x-4 = 5

9x = 5 + 4

9x = 9

divide both sides by the coefficient of x which is 9

9x/9 = 9/9

x = 1

substitute the value of x = 1 into equation 3

y = 2x -4.......................................................... equation 3

y = 2(1) -4

y = 2 - 4

y = -2

to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.

2x - y = 4 ................................................... equation 2

2(1) -(-2) = 4

2 + 2 = 4

4=4................................... proved

7 0
3 years ago
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