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kozerog [31]
3 years ago
10

2x + y =6 y = x-3 Solve for x and y

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

x = 3, y=0

Step-by-step explanation:

2x + y =6

y = x-3

Substitute the second equation into the first

2x +x-3 =6

Combine like terms

3x-3 =6

Add 3 to each side

3x-3+3 = 6+3

3x= 9

Divide each side by 3

3x/3 = 9/3

x =3

Now we need to find y

y = x-3

y = 3-3=0

y=0

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1. The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, pro
Whitepunk [10]
First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:
\frac{ y_{2}- y_{1}  }{ x_{2} - x_{1} }

The figure would look kinda like this:
      R
                  M
  
          S
                       B
 Diagonals are segment RB and segment SM
So, your slope equations would look like this:
 \frac{-1-5}{2-(-4)}
and
\frac{4-(-3)}{1-0}
Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram
7 0
3 years ago
Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship
Kobotan [32]
Xy = 1 for all points.

 We are going to demonstrate this affirmation:
 (2) * (0.5) = 1
 (1) * (1) = 1
 (0.5) * (2) = 1
 Therefore, the relationship between the ordered pairs is inverse.
 The relationship between the ordered pairs is:
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 Answer: 
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7 0
4 years ago
Find an ordered pair that is solution for linear equation 4x-5y=20​
Eduardwww [97]

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Step-by-step explanation:

Here, the given equation is: 4 x- 5y  = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x  = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y =  20 ⇒  y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y  = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x =  20 ⇒  x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.

8 0
3 years ago
Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 yea
Alexxandr [17]

Answer:

$5829.57

Step-by-step explanation:

Annually compounding interest formula: PV(1+i)^t

5000(1+.0525)^3

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which rounds to: 5829.57

7 0
3 years ago
(13 points) asap!! please help!!!!
kenny6666 [7]

Answer:

(-1,4)(1,4)

2

Step-by-step explanation:

6 0
3 years ago
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