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xenn [34]
4 years ago
15

Which graph best represents the solution to the following pair of equations?

Mathematics
2 answers:
Mashcka [7]4 years ago
7 0
This one is definitely the one. Look at the y intercept of each equation and see where it crosses the y axis. Then you check the slope to make sure it matches the slope of the equations.

sweet [91]4 years ago
4 0
When they graphically intersect, the two equations are equal and we can say that y=y so:

4x+2=x+5  subtract 2 from both sides

4x=x+3  subtract x from both sides

3x=3  divide both sides by 3

x=1, which makes y=x+5 become:

y=1+5=6, so the solution to the system of equations is the point:

(1,6)

The only graph containing this point is the top one on the first page...
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The diagonals of a quadrilateral QRST intersect at P(-1,3). QRST has vertices at Q(3,6) and R(-4,5). What must be the coordinate
erica [24]

S = (-5,0)

T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

Let S be (a,b) and T be (c,d)

The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.

Step 2 :

P is the midpoint  of QS

So we have (3+a) ÷ 2 =  -1  and (6 + b) ÷ 2 = 3

=> 3 + a = -2    and 6 + b = 6

=> a = -5  and b =0

So S should be (-5,0)

Step 3 :

P is the midpoint  of RT

So we have (-4+c) ÷ 2 =  -1  and (5 + d) ÷ 2 = 3

=> -4+ c = -2    and 5 + d = 6

=> c = 2  and d =1

So T should be (2,1)

Step 4 :

Answer :

S = (-5,0)

T = (2,1)

6 0
3 years ago
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the dist
enyata [817]

Given:

The given equation is

1-(x+2)+2x=5(2x-5)-x

Mikel first applies the distributive property.

To find:

The resulted equation of this step.

Solution:

We have,

1-(x+2)+2x=5(2x-5)-x

According to the distributive property,

a(b+c)=ab+ac

Using distributive property, we get

1-(x)-(2)+2x=5(2x)+5(-5)-x

1-x-2+2x=10x-25-x

Therefore, the resulted equation after distributive property is 1-x-2+2x=10x-25-x.

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Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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