Answer:
If 
is the transformed function, then the parent function 
has been shifted up vertically by 4 units and horizontally right by 2 units
Step-by-step explanation:
Assume the function is 
is the parent function.
A vertical shift,b units up will transform the function to 
.
A horizontal shift 
units.
For instance, if , b=4, and a=2 units.
Then the transformed function becomes:
Answer:
x = 37 y = 12
Step-by-step explanation:
Let x be one number
Let y = other number
x+y = 49
x-y = 25
Add the equations together
x+y = 49
x-y = 25
---------------
2x = 74
Divide by 2
2x/2 = 74/2
x =37
x+y = 49
37+y = 49
Subtract 37 from each side
37+y-37 = 49-37
y = 12
the answer is 65 degrees because the line in the middle is a 180 degree angle and 180-115=65. hope this helps :)
Step-by-step explanation:
n(S) = 25
Assume that O : odd numbers and E : even numbers,
n(O) = 13
n(E) = 25-13 = 12
P(OO) = P(O) x P(O)
= 13/25 x 12/24
(because without replacing so the number of balls left decreases)
= 13/25 x 1/2
= 13/50
Answer:
Step-by-step explanation:
7) ∠1 + 30 = 180 {linear pair}
∠1 = 180 - 30
∠1 = 150
8) ∠2 = 30 {Vertically opposite angles are congruent}
9) In ΔLMN,
∠L + ∠N + ∠M = 180 {angle sum property of triangle}
50 + 30 + ∠M = 180
80 + ∠M = 180
∠M = 180 - 80
∠M = 100°
10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.
∠B + ∠A = ∠BCD
30 + ∠A = 80
∠A = 80 - 30
∠A = 50
