Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given
Required
Determine the proper subsets
Proper Subset (P) is calculated using;

Where

In this case;

So:




Hence;
<em>Proper Subsets = 1023</em>
Answer:
3.8
Step-by-step explanation:
if the apples are 0.30 cents each then you multiply .3 X 6 and you get 1.8 because 1 apple is .30 cents you want to know how much is 6.
Next you pay .40 cents each for 5 oranges so .4 X 5 which is 2. And once again one orange is .40 cents so you multiply that by 5 to see the price of 5 oranges
Now you add the 1.8 to 2 and get 3.8
Now for the equation you just need to plug in what you did so...
(0.3 X 6) + (0.40 X 5) = 3.8
Glad i could help :)
Answer:
( x + 2 ) and ( x - 11 )
Step-by-step explanation:
x² - 9x - 22 = 0
x² + 2x - 11x - 22 = 0
x ( x + 2 ) - 11 ( x + 2 ) = 0
( x + 2 ) ( x - 11 ) = 0
Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).