Answer:
y= -2x+3
Step-by-step explanation:
first find the slope=-2
determine one point like(0,3)
then use formula
y-3=-2x
y= -2x+3
Step-by-step explanation:
tan(Θ + 30°)
Use angle sum formula:
tan(A + B) = (tan A + tan B) / (1 − tan A tan B)
So we can write this as:
(tan Θ + tan 30°) / (1 − tan Θ tan 30°)
tan 30° = 1/√3, so:
(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)
Multiply top and bottom by √3:
(√3 tan Θ + 1) / (√3 − tan Θ)
Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.
We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.
Therefore A ⊆ B.
Answer: $3.7
Step-by-step explanation:
23-20=3
3/2=1.5
20-1.5=18.5
18.5/5=3.7
Answer:
A'(2, 6 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 
A(3, 9 ) → A'( (3), (9) ) → A'(2, 6 )
