Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
Answer:
{
}
{
}
The relation is not a function.
Step-by-step explanation:
By definition, a relation is a function if each input value has only one output value.
Given the relation:
(4,23)
(3,-2)
(-6,5)
(4,6)
The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):
{
}
The range is the set of the y-coordinates of each ordered pair :
{
}
Since the input value 4 has two different output values (23 and 6), the relation is not a function.
Answer:
k = 3
Step-by-step explanation:
5(ky-6)=15y-30
Factor out a 5 from the right side
5(ky-6)=5(3y-6)
Divide each side by 5
ky -6 = 3y -6
Add 6 to each side
ky = 3y
divide by y
k = 3
Answer:
European can holds more, Volume is approx 159π
American can, Volume is approx 149π
Step-by-step explanation:
V(cyl) = π · r² · h
Answer:
$200
Step-by-step explanation:
4 different streets with 5 customers on each means 4*5 customers or 20 customers. If he has 20 customers and he gets $10 from each one, thats 20*10. he collected $200