The algebraic rule describes the 180° counter-clockwise rotation about the origin =======> Answer: Rule for 180 degrees Counter-Clockwise Rotation =======> ( X , Y ) =========> ( - X, - Y ) ====> Make X + Y Signs Opposite.
Rotations Counter-Clockwise:
Rotation of 90 degrees ========> Switch X + Y, Make Y Opposite.
Rotation of 270 degrees ======> ( X, Y ) ===> ( Y, - X ) ==> Switch X + Y, Make X Opposite.
Hope that helps!!!! : )
Answer:
a) The variable, M represents the amount of fish Ms. Montesinos has
b) The set equation is 11 + 2 = 3 × M - 2
c) 5
Step-by-step explanation:
The given parameters are;
The number of fishes in Ms. Cruz's tank = 11 fishes
The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes
a) Let the variable, M represent the amount of fish Ms. Montesinos has
b) The set up equation is as follows;
11 + 2 = 3 × M - 2
c) From the equation, 11 + 2 = 3 × M - 2, we have;
13 = 3·M - 2
3·M = 13 + 2 = 15
3·M = 15
M = 15/3 = 5
M = 5
The number of fishes Ms. Montesinos has is 17 fishes
(8, 1)
x = 8
y = 1
8 + 1 < 10
9 < 10 false
(8,1) cannot be a solution of x + y > 10
hope this helps
Answer:
The value of P( A and B ) is 0.08.
Step-by-step explanation:
When two events are independent then the probability of both occurring is equal to the product of probabilities of both events individually,
That is, If X and Y are independent events,
Then, P(X∩Y) = P(X) × P(Y),
or P(X and Y) = P(X) × P(Y),
Here, P(A) = 0.40 and P(B) = 0.20,
Hence, P(A∩B) = P(A) × P(B)
= 0.40 × 0.20
= 0.08
