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Dahasolnce [82]
2 years ago
13

If p+1/p - 7 then find the value of p³+1/p³ ​

Mathematics
1 answer:
ankoles [38]2 years ago
5 0

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

               =7^3-3(7)=343-21=322

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What is a value of y that satisfies the inequality below? y3≤12
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3 years ago
Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0
2 years ago
39-(15z+48)/27=35 what is z
Hatshy [7]
39-(15z+48)/27=35 39-35=(15z+48)/27 4=(15z+48)/27 108=15z+48 108-48=15z 60=15z z=60/15 z=4
7 0
2 years ago
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