Starting from the base of the hill, Kit climbed up the hill 87 ft. After taking in the view, she then climbed down the hill 39 f
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the coordinates of the points of intersection of the graph of y=13−x with the axes
Given equation is y=13-x
x axis is x=0
y axis is y=0
Plug in the value of x =0 and find out y
y = 13 - x
y = 13 - 0 = 13
Plug in the value of y=0 and find out x
0 = 13 - x
x= 13
So coordinate axis
x= (13,0)
y= (0,13)
Base of the triangle is x=13
Height of the triangle is y= 13
Area of the triangle =
= = 84.5
Area of the triangle = 84.5
Given:
The red figure dilated with a scale factor of and the center of dilation is at the point (4,2) to get the green figure.
To find:
The coordinates of C' and A.
Solution:
If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
In given problem, the scale factor is and the center of dilation is at (4,2).
...(i)
Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).