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Svetllana [295]
3 years ago
12

3x+9y=758x+5y=67 what is x and y?

Mathematics
1 answer:
slava [35]3 years ago
8 0

There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...

... (x, y) = (4, 7)

_____

You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to

ax+by=c\\dx+ey=f

is given by

x=\dfrac{bf-ec}{\Delta}\\\\y=\dfrac{cd-fa}{\Delta}\qquad\text{where $\Delta=bd-ea$}

Here, that means

... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4

... y = (75·8-67·3)/57 = 399/57 = 7

_____

A (graphing) calculator greatly facilitates either of these approaches.

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netineya [11]
56 because of the formula and the misadventure amount it
8 0
2 years ago
Need answer please show work
Jet001 [13]

Let us set up some variabe:

  • height: h
  • base: b

Use the known information:

  • b = 2h + 8

Now lets find the area

   Area = (1/2) * b *h = (1/2) * h * (2h + 8)

Hope that helps!

7 0
2 years ago
I don't know to find the answer to 8. Can someone explain to me?
lapo4ka [179]
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.

A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'

B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)

C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)

D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n

_____
* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.

The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
7 0
3 years ago
The number of sunrises that happen each year is measured in the __
Softa [21]

Answer:

I'm not sure but I think in the hundreds.

Step-by-step explanation:

There are about 365 sunrises a year. So that is in the hundreds.

I have no clue, sorry :(

8 0
3 years ago
Read 2 more answers
Helppppppppppppppppp
jasenka [17]

Answer: x smaller than or equal to -4

5 0
3 years ago
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