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ad-work [718]
2 years ago
11

Solve the simultaneous equations y=3x+2 and y=x+6

Mathematics
1 answer:
kogti [31]2 years ago
5 0

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2  (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2  (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

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Suppose that F is an inverse square force field below, where c is a constant.
Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

a)

First of all we have,

F(r) = \frac{cr}{|r|^{3} }

and,

r = xi+yj+zk

We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

f(r) = - c /|r|

That is,

\nabla f = F

For this case F is a conservative field and the line integral is independent of the path. Thus, defining  P_{1} = (x_{1}, y_{1}, z_{1}) and P_{2} = (x_{2}, y_{2}, z_{2}) . So the amount of work on the movement of the object from P1 to P2 is,

W=\int\limits_c  {F} \, dr

W= f(P_{1}-P_{2})

W= \frac{c}{(x_{2}^2+ y_{2}^2+ z_{2}^2)^{1/2} } -\frac{c}{(x_{1}^2+ y_{1}^2+ z_{1}^2)^{1/2}}

W= c(\frac{1}{d1}-\frac{1}{d2}  )

2) The gravitational force field is given by,

F(r) =-\frac{mMGr}{ |r|^3}

The maximum distance from the earth to the sun is 1.52*10 ^ 8 km and the minimum distance is 1.47*10 ^ 8km. The mass values of the bodies are given by m = 5.97*10 ^ {24}kg, M = 1.99 *19 ^ {30}kg and the constant G is 6.67 * 10 ^{ -11 } \frac{Nm ^ 2}{kg^2}

In this way we raise the problem like this,

c= -mMG

W= -mMG (\frac{1}{1.52*10 ^ 8} -\frac{1}{1.47*10 ^ 8} )

W= -(5.95*10^{24})(1.99*10^{30})(6.67*10^{-11})(-2.2377*10^{-10})

W \approx 1.77*10^{35}}J

5 0
3 years ago
What is the solution to the system of equations? x=4y 6 x-3y=4
ahrayia [7]
If you graph the two equations then you will find that they intersect at (-2,-2).

You then have to check your answer.

x=4y+6
(-2)=4(-2)+6
-2=-8+6
-2=-2

x-3y=4
(-2)-3(-2)=4
-2+6=4
4=4

8 0
3 years ago
What are the solutions to the equation 13x? - 17x + 7 = 0?<br> ©
ICE Princess25 [194]

Answer:

x=7/4

Step-by-step explanation:

13x-17x+7=0

-4x+7=0

-4x+7-7=0-7

-4x=-7

-4x/-4=-7/-4

x=7/4

8 0
3 years ago
How many times can can 93 go into 784?
lyudmila [28]
784/ 93 = 8.43010752688
93 * <span>8.43010752688 = 784</span>

8 0
3 years ago
Read 2 more answers
Which expressions are equivalent to -6n + (-12) + 4n ?
raketka [301]
The expression equivalent to the fort is a) 4(n-3) -6n, if you so the math for the first one do what is inside the parenthesis first. (think PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. So the first thing it gives you is -6n +(-12) Well, a negative + a negative = a negative! So, -6+-12= -18, then add your caroable. So, -18n. Now, you add -18n with what you have left so 4n -18+4 is -14n. So, if you do answer a) (n-3) = (1n-3)= (1-3) =-2. -2×4=-8n because a negative × a positive = a negative because they have different signs. From there you have -8n - (6) Instead of subtracting you just add a negative So, you would rewrite your problem as: -8n+(-6)= -14n the same thing you got as your orginal. Hope tj
his helped! Don't forget about adding you variables and PEMDAS!! Also d po not forget about your positive a negative rules!!!
4 0
3 years ago
Read 2 more answers
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