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Mademuasel [1]
3 years ago
6

If x+y=10 and x-y=6 what is this value of x cube - y cube​

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

x cubed minus y cubed is equal to 504

Step-by-step explanation:

First we need to know what the values of x and y are.  We can do this pretty easily, by just solving both equations for x, and equating them to each other:

With the first:

x + y = 10

x = 10 - y

And with the other

x - y = 6

x = 6 + y

Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:

10 - y = 6 + y

10 - 6 = y + y

4 = 2y

y = 2

And now that we know what y is, we can find x:

x = 10 - y

x = 10 - 2

x = 8

So x is equal to eight.  We can check our answer by plugging x into the other equation and seeing if we get the same value for y:

x - y = 6

8 - y = 6

-y = 6 - 8

-y = -2

y = 2

So we know we solved that correctly.

Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8.  If we subtract the latter from the former we get 504.

so x cubed minus y cubed is equal to 504

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3 years ago
3<br> Describe and correct the error a student made when graphing the linear equation y = -3/4x -6
likoan [24]

Answer:

In step 1 the y-intercept should be plotted at (0,-6)

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

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3 years ago
What is the slope of a linear that is perpendicular to the line y=-1/2x+5?​
Vlada [557]

Step-by-step explanation:

Equation of given line is:

y =  -  \frac{1}{2} x + 5 \\  \\ equating \: it \: with \: y =m_1x + c  \\ we \: find \:  \\ m_1 = -  \frac{1}{2} \\ let \: m_2 \: be \: the \: slope \: of \: required \: line \\  \\  \therefore \: m_1 \times m_2 =  - 1( \because \: lines \: are \:  \perp) \\  \\ \therefore \: -  \frac{1}{2} \times m_2 =  - 1\\  \\ \therefore \: m_2 = 2 \\

Thus, the slope of required line is 2.

6 0
3 years ago
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