Answer:
(x, y) → (1.5x, 1.5y)
Step-by-step explanation:
Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.
Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...
(x, y) → 1.5(x, y)
We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.
- = (3)^2 - (4x)^2
- 9 - 16x^2
<u>Answer</u><u>:</u>
<u>9</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>x</u><u>^</u><u>2</u>
Hope you could understand.
If you have any query, feel free to ask
Answer:
See answer below
Step-by-step explanation:
The statement ‘x is an element of Y \X’ means, by definition of set difference, that "x is and element of Y and x is not an element of X", WIth the propositions given, we can rewrite this as "p∧¬q". Let us prove the identities given using the definitions of intersection, union, difference and complement. We will prove them by showing that the sets in both sides of the equation have the same elements.
i) x∈AnB if and only (if and only if means that both implications hold) x∈A and x∈B if and only if x∈A and x∉B^c (because B^c is the set of all elements that do not belong to X) if and only if x∈A\B^c. Then, if x∈AnB then x∈A\B^c, and if x∈A\B^c then x∈AnB. Thus both sets are equal.
ii) (I will abbreviate "if and only if" as "iff")
x∈A∪(B\A) iff x∈A or x∈B\A iff x∈A or x∈B and x∉A iff x∈A or x∈B (this is because if x∈B and x∈A then x∈A, so no elements are lost when we forget about the condition x∉A) iff x∈A∪B.
iii) x∈A\(B U C) iff x∈A and x∉B∪C iff x∈A and x∉B and x∉C (if x∈B or x∈C then x∈B∪C thus we cannot have any of those two options). iff x∈A and x∉B and x∈A and x∉C iff x∈(A\B) and x∈(A\B) iff x∈ (A\B) n (A\C).
iv) x∈A\(B ∩ C) iff x∈A and x∉B∩C iff x∈A and x∉B or x∉C (if x∈B and x∈C then x∈B∩C thus one of these two must be false) iff x∈A and x∉B or x∈A and x∉C iff x∈(A\B) or x∈(A\B) iff x∈ (A\B) ∪ (A\C).
Product means to multiple 12y
increase that by 11 so +11
awnser: 12y+11
Answer:
The remainder is 5
Step-by-step explanation:
12 Divided by 7 equals 12 over 7 or 1.714285. 7 can only go into 12, one time. if we subtract 7 from 12 we get 5 which is the remainder. There is no way it can be 2 because 7 plus 2 equals 9. 1 x 7 + 5 equals 12 which isn't 1.714285. 2 x 7 + 4 equals 18 which also isn't 1.714285. Same with 2 x 5 + 5. That equals 15 which isn't 1.714285.
