Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x, y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
midpoint (-2, -16), endpoint (-7.-9)

Given:

One endpoint of a line segment = (-7,-9)

Midpoint of the segment = (-2,-16)

To find:

The other endpoint of the given line segment.

Solution:

Let (a,b) be the other endpoint of the given line segment.

Midpoint formula:

Using this formula, we get

On comparing both sides, we get

And,

Therefore, the coordinates of other endpoint are (3,-23).

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.