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timama [110]
3 years ago
12

Determine the equivalent system for the given system of equations: 5x − 3y = 6 x + y = 2

Mathematics
2 answers:
Alborosie3 years ago
6 0

Answer:

Your answer would be A.) 5x − 3y = 6  and 6x − 2y = 8

Arada [10]3 years ago
3 0

Answer:

<h2>x = 1.5 and y = 0.5 → (1.5, 0.5)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}5x-3y=6\\x+y=2&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-3y=6\\3x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad8x=12\qquad\text{divide both sides by 8}\\.\qquad x=1.5\\\\\text{put the value of x to the second equation:}\\\\1.5+y=2\qquad\text{subtract 1.5  from both sides}\\y=0.5

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30men can finish 1/7of a work in 2days.18men will do othe remaining work in ?
Dovator [93]
7/7-1/7=6/7 is the rest of work
1/7 work takes 2days
6*1/7=6/7 work takes 6*2days=12days
30 men takes 12 days to finish the rest of work (6/7)
18 men takes 18*12/30= 7.2days
7 0
3 years ago
What is partial derivative of z=(2x+3y)^10 with respect to x,y?
maw [93]
Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.

\dfrac\partial{\partial x}(2x+3y)^{10}=10(2x+3y)^9\times2=20(2x+3y)^9

\dfrac\partial{\partial y}(2x+3y)^{10}=10(2x+3y)^9\times3=30(2x+3y)^9

Or, if you actually did want the second order derivative,

\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8

and in case you meant the other way around, no need to compute that, as z_{xy}=z_{yx} by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because z is a polynomial).
3 0
2 years ago
Read 2 more answers
3x(2x-1)-(2x+3)(2x+3)
Alexxx [7]
The answer is negative 2x squared minus 3x
6 0
2 years ago
How to use the slope formula to find the slope of a line<br> please help me!!!!!!!
stepan [7]

Answer:

Sweetie, it's easy. Let me explain.

The slope formula is (y2 - y1) (x2 - x1) you find the slope by putting the rise over the run. For example, if the point goes up 2 and right 3 your slope would be (2,3) and let's just say your next coordinate is (4,5) you would take the y, 5, from the second coordinate and subtract it by the y from the first coordinate, 3. So you would have 2 and you do the same with the x values. So your slope would be 3/2. Hope I helped at all.

Step-by-step explanation:


8 0
2 years ago
Can someone help me <br> 14. Determine the arc length. Give your answer to two decimal places.
Paul [167]

Answer:

19.48 m

Step-by-step explanation:

The formula that is used to find arc length is:

arc length = 2πr (\frac{angle}{360})

In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.

arc length = 2 × π × 9 ×(\frac{124}{360})

= 2 × π × 9 × 0.3444

= 19.48 m

8 0
2 years ago
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