Answer:
Step-by-step explanation:
First, it is important to remember which are the Negative numbers and the Positive numbers.
The Positive numbers are defined as all those numbers that are greater than zero and the Negative numbers are defined as all those numbers that are less than zero.
Then:
a. "3 degrees below " indicates that the temperature is actually , which is less than zero. Then, it is a negative number:
b. Let be 0 represents the sea level, "6 feet above the see level" indicates that the number is positive:
c. "Lost 5 pounds" indicates that now the actual weight is 5 pounds less than the original, which indicates that it must be expressed as a negative number:
d. "Found " means that now the actual amount of money is greater than it was before. Then, the number that represents this is a positive number:
Answer:
The image of point (x , y) by dilation with center origin and scale factor k is (kx , ky)
Step-by-step explanation:
* Lets talk about dilation
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the
figure does not change.
- The scale factor, measures how much larger or smaller
the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* In a problem of dilation
∵ The center of dilation is the origin
∵ The scale factor of dilation is k
∵ The point is (x , y)
- In dilation with center origin and scale factor k to find the image
of the point multiply each coordinates of the point by the scale
factor k because the distance d between the point and the
origin will be equal kd which is the distance between the origin
and the image of the point d is depending on the coordinates
of the point
∴ The image of point (x , y) by dilation with center origin and
scale factor k is (kx , ky)
* Ex: If point A is (3 , 4)
∵ The distance from the origin to point A =
∵ The scale factor of dilation is 2 and the center is the origin
∴ The image of A is A' = (3 × 2 , 4 × 2) = (6 , 8)
∵ The distance from the origin to point A' =
∵ 10 ÷ 5 = 2 which is the value of the scale factor
∴ The image of point (x , y) by dilation with center origin and
scale factor k is (kx , ky)