Answer:
(- 4, 1 )
Step-by-step explanation:
A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.
B = (- 5, 4 ), thus
B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )
Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes 
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :
Third answer choice is right.
Answer:
Step-by-step explanation:
x = 70 degree (being vertically opposite angles)
y + 70 degree =180 degree (being linear pair)
y = 180 - 70
y = 110 degree
In triangle,
x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)
70 + 60 + missing angle =180
130 + missing angle = 180
missing angle = 180 - 130
missing angle = 50 degree
c = missing angle (being vertically opposite angles )
c = 50 degree
x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)
70 + 50 = a
120 degree = a
a = b (being vertically opposite angle
120 =b
therefore b is 120 degree
Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree
