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WINSTONCH [101]
3 years ago
13

The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer:

G(-3, 6)

Step-by-step explanation:

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Substitute the coordinates of M and D into the formula:

( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&=  \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4  &\\  - 2= x1 + 1&, &10 &= y1 + 4 &\\   x1=  - 2 - 1&,& y1 &= 10 -  4 &\\  x1=  - 3&, &y1& =6  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: &

Thus, the coordinates of G is (-3,6).

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b

Step-by-step explanation:

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Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
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We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
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d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
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Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
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2 years ago
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Answer:

D. Multiplication property of equality

Step-by-step explanation:

5 is multiplied to both sides of the equation, resulting to x = -10

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Answer:

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Step-by-step explanation:

80 miles = 128.748 km

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Putting in 'x' for distance

x = 80*10  

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or

x = 1287.48 km

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