S is the midpoint of RT. R has coordinates (-6, -1), and S has coordinates (-1, 1) . What are the coordinates of T? thank you sooo much :]]?

Answer 1

#T=(4,3)#

#"one way is to use vectors"#
#"since S is the midpoint of RT then"#
#vec(RS)=vec(ST)#
#rArruls-ulr=ult-uls#
#rArrult=2uls-ulr#
#color(white)(rArrult)=2((-1),(1))-((-6),(-1))#

#color(white)(rArrult)=((-2),(2))-((-6),(-1))=((-2+6),(2+1))=((4), (3))#

#rArr"coordinates of T "=(4,3)#
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Answer 2

To find the coordinates of point T, we can use the midpoint formula, which states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints.

Let's denote the coordinates of point T as (x, y). Since S is the midpoint of RT, we can find the average of the x-coordinates and the y-coordinates of R and T to find the coordinates of point T.

The x-coordinate of S is -1, and the x-coordinate of R is -6. So, the average of these two x-coordinates gives us the x-coordinate of T.

[ \frac{(-6) + x}{2} = -1 ]

Solving for x: [ (-6) + x = -2 ] [ x = 4 ]

Similarly, the y-coordinate of S is 1, and the y-coordinate of R is -1. So, the average of these two y-coordinates gives us the y-coordinate of T.

[ \frac{(-1) + y}{2} = 1 ]

Solving for y: [ (-1) + y = 2 ] [ y = 3 ]

Therefore, the coordinates of point T are (4, 3).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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