Answer:
A(10,-2).
Step-by-step explanation:
It is given that, on a coordinate plane, a triangle has points A'(-2, 10), B'(-6, 4), and C'(-10, 8).
We need to find the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x.
If a figure reflected across the line y=x, then
It is given that A'(-2,10).
On comparing both sides, we get
Therefore, the coordinates of preimage of A' are (10,-2).
Answer:
9 feet
Step-by-step explanation:
Given:
The border of the garden is a right angled triangle.
Two lengths are given as 12 ft and 15 ft.
Let the length of the shortest timber be 'x' feet.
Now, in a right angled triangle, the longest length is called the hypotenuse.
As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:
The negative value is neglected as length can never be negative.
Therefore, the length of the shortest timber is 9 feet.