Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector 
by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector 
by a scale factor of 2.5
→ 
Followed by the rotation by 90° Or 
radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector will become,
→ 
If we represent this vector by 
,
Then a = -1 and b = -2.5 will be the answer.
Answer:
6.66 hours, that is, 6 hours and 40 minutes.
Step-by-step explanation:
If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.
If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.
So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:
(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66
So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.
Answer:
a=5; b=2
Step-by-step explanation:
ANSWER
EXPLANATION
The first number is
The second number is
The product of the above two numbers is
We regroup the numbers to obtain,
We now multiply out the expression in the bracket to obtain,
Recall also that,
We apply this property to obtain,
This finally simplifies to,
Therefore the correct answer is D.
