Answer:
The resulting function is .
Step-by-step explanation:
Let a real function, we define the following function operations:
Horizontal translation
(1)
If , then horizontal translation is to the left, otherwise it is to the right.
Vertical translation
(2)
If , then vertical translation is upwards, otherwise it is downwards.
Knowing that and
is the result of translating
four units downwards and five units to the left. Then, we find that:
The resulting function is .
We have been given a diagram. We are asked find the measure of arc EAB.
First of all, we will find the measure of arcs ED and CB using our given information.
We know that measure of an inscribed angle is half the measure of intercepted arc.
We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.
Similarly, we will find the measure of arc DCB.
Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.
Answer:
19.5
Step-by-step explanation:
The area of a triangle given 3 coordinates can be solved using the formula:
Where
A_x is x coordinate of first point (here 7)
A_y is y coordinate of first point (here 1)
B_x is x coordinate of 2nd point (here 0)
B_y is y coordinate of 2nd point (here 10)
C_x is x coordinate of 3rd point (here 9)
C_y is y coordinate of 3rd point (here 4)
Plugging these into the formula, we get out answer:
Hence, the area is 19.5