Hey there!!
How do we find inverses?
In versing is the just the flip-flop of the x and y.
Given equation :
...f(x) = √(2x-6)
... y = √(2x-6)
... x = √(2y-6)
Square on both sides
... x² = 2y-6
... x² + 6 = 2y
... x² + 6 / 2 = y
Inverse :
f(x) = ( x² + 6 ) / 2
( ii ) f(x) = ( x - 2 )³ + 8
... y = ( x - 2 )³ + 8
... x = ( y - 2 )³ + 8
... x - 8 = ( y - 2 )³
... cube root on both sides
... ∛( x - 8 ) = y - 2
... ∛(x - 8 ) + 2 = y
Inverse :
f(x) = ∛( x - 8 ) + 2
Hope my answer helps!!
Answer:
Step-by-step explanation:
Given:
E is the midpoint of segment AC.
AE ≅ EC
∠BAE ≅ ∠ECD
To prove:
ΔAEB ≅ ΔCED
Statements Reasons
1). AE ≅ EC 1). Given
2). ∠BAE ≅ ∠ECD 2). Given
3). ∠AEB ≅ ∠CED 3). Vertically opposite angles theorem
4). ΔAEB ≅ ΔCED 4). By ASA postulate of congruence
Answer: c. Stratified sampling
Step-by-step explanation:
Stratified sampling is a sampling method in which the studied population is divided into separate groups or subgroups known as strata, there after a simple random sample can then be drawn from each separate or subgroups.
One of the main merit of stratified sampling is that it helps to reduce the size of sample required to get accurate result.
Answer:
- 70 degrees because all of the angles in a triangle add up to 180 degrees
- 150 degrees because the adjacent angle is 30 degrees
- 110 degrees because the adjacent angle is 70 degrees
- 50 degrees because angle 5 would also have to be 50 in order for all of the angles on that line to be 180 degrees
Step-by-step explanation:
I hope this helps!!!!
