When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
b) √29
Step-by-step explanation:
Given: The origin is (0, 0), the point P is (2, -5).
We need to use the distance formula.
Distance formula =
Here x2 = 2, x 1 = 0, y1 =0, y2 = -5
Distance =
= √(4 + 25)
= √29
The answer is b) √29
Hope you will understand the concepts
Thank you!!
Isn't the ticket the entrance fee?
oh well,
assuming that
each person paid 0.50 to enter
if a certain gropu paid 28 to enter, how many peple
total cost=costperperson times numbe rof person
28=0.5 times number of persons
divide by 0.5 or multiply both sides by 2 (same thing)
56=number of person
Answer:
Draw an open circle at 6
Shade all numbers less than 6
Shade all numbers to the left of 6
Step-by-step explanation:
we have

The solution of the inequality is the interval (-∞,6)
All real numbers less than 6
In a number line the solution is the shaded area to the left at number 6 (open circle)
see the attached figure to better understand the problem
therefore
Draw an open circle at 6
Shade all numbers less than 6
Shade all numbers to the left of 6