Answer:
the answer is -5
Step-by-step explanation:
Answer:
D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'
Step-by-step explanation:
When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.
Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).
If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.
The figure below shows the segments YZ and Y'Z'.
First, we can convert both of them to improper fractions.
We do that by multiplying the denominator to the whole number, adding it to the numerator, and keeping the denominator.
2 5/3 - 2 3/2
So we have:
11/3 - 7/2
Convert both of them to denominators of 6:
22/6 - 21/6
Subtract the numerators and keep the denominators:
1/6
20? I’m not for sure maybe look in the book? That’s the answer I got and it was right
Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
