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Fudgin [204]
3 years ago
9

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?

Mathematics
2 answers:
Rudik [331]3 years ago
8 0
Let point A(-2,4)  = A (X1,Y1)
      point B( 1,3  )= B (X2,Y2)
      point C(4,-1)  = C (X3,Y3)
and point D(?, ?) = D (X4,Y4)  We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4  divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0


Now we have found the coordinates of the point D, which is (1,0)

Hope this helped!
Basile [38]3 years ago
3 0

Answer: d- (1,0)

Step-by-step explanation:

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I am Lyosha [343]

Answer:

x=137

y=525-137

y=388

Step-by-step explanation:

Let the student tickets be x

Let the geral Admission tickets be y

x+y=525

y=525-x

4x+6y=2876 (subsitute for y)

4x+6(525-x)=2876

 

4x+3150-6x=2876

-2x=-274

x=137

y=525-137

y=388

Hence, about 137 childern tickets were sold and 388 gernal admission tickets were sold.

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Shtirlitz [24]

Answer:

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Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

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(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?

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Extra:

The full equation of the line is:

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