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olga2289 [7]
3 years ago
8

Write an equation in point-slope form for the line that passes through

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

y+2=3(x+1)

Step-by-step explanation:

y-(-2)=3(x-(-1))

y+2=3(x+1)

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Point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12). Point K is the midpoint of segment GH with endpoints G(
faltersainse [42]

Answer:

1 unit

Step-by-step explanation:

If point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12), then its coordinates are

x_J=\dfrac{x_F+x_G}{2}=\dfrac{1+5}{2}=3\\ \\y_J=\dfrac{y_F+y_G}{2}=\dfrac{4+12}{2}=8

If point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4), then its coordinates are

x_K=\dfrac{x_G+x_H}{2}=\dfrac{5+(-1)}{2}=2\\ \\y_K=\dfrac{y_G+y_H}{2}=\dfrac{12+4}{2}=8

The measure of JK is

JK=\sqrt{(3-2)^2+(8-8)^2}=\sqrt{1^2+0^2}=1\ unit

3 0
3 years ago
Anybody know the right answer?
Murljashka [212]
Y = -1 is a horizontal line going through "-1" on the y axis

Note that the point (1,2) is exactly 3 units of distance above the line y = -1

When we reflect across this line, the point (1,2) will just move straight down to exactly 3 units of space below the line y = -1.  Since we are not shifting left or right, the x coordinate of our original point will not change.  The y coordinate of our original point will now need to be reduced by 6(3 units down to get to the line of reflection and then 3 more down to get to the image location)   

The coordinates of the image point will be (1, -4)
Now we need to do the same process with (1, -4) being reflected across y=1

Note (1,-4) is 5 units of distance below the line y = 1 , so we need to reflect the point upward so that the image point is located exactly 5 units of distance above the line y = 1  Again, the x coordinate does not change, and our final image coordinates are (1, 6)

I guess more simply stated, if you're just looking for the number in the green box it would be " 1 " .. Reflecting points across horizontal lines only result in changes of the "y" coordinate since there is no shift left or right.
5 0
3 years ago
20 equals 5 times negative 3 plus x
kotykmax [81]

Answer:

20=5*-3+x or 20=-15+x or 35=x

8 0
4 years ago
Which symbol creates a true sentence when x equals 2? 6 • 8 – 2x _____ 6(5 + x) < > = ?
34kurt
48-4=44,in the left
6×7=42,in the right
44>42,so > is the answer
5 0
3 years ago
Read 2 more answers
The
Yakvenalex [24]
The median is nine (9). You add each number up, and then you divide by the amount of numbers you have. 
The mean is 9.83 according to my calculations. 
8 0
3 years ago
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