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Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d =
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d =
=
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Answer:
Translate 7 units up and then translate 11 units to the left.
Step-by-step explanation:
We have the triangle PQR having co-ordinates (10,6), (6,2) and (4,-1).
It is required to translate ΔPQR so that the resulting image is completely inside the 2nd quadrant.
So, for that we will apply the following sequence of translations:
1. Translate 7 units up.
This will give us the figure in the 1st quadrant having co-ordinates (10,1), (6,9) and (4,6).
2. Translate 11 units to the left
We will get the final triangle P'Q'R' with the co-ordinates P'(-1,1), Q'(-5,9) and R'(-7,6) as shown below.
