Answer:
Step-by-step explanation:
Here we are given with parent function and the graph which shows that the function g(x).
We are asked to guess the function g(x).
We are given the two coordinates on g(x)
(0,8) and (2,32)
Hence for x = 0 , g(x)= 8
And for x=2, g(x)= 32
Let us say that the translated function is represented by
Hence
--------------- (i)
also
Hence
-------------------(ii)
Subtracting (i) from (ii) we get
Hence a = 8
Now putting this value of a in (i)
B=0
Hence
8g + 10 = 35 + 3g
8g + 10 - 3g = 35
5g + 10 = 35
5g + 10 - 10 = 35 - 10
5g = 25
5g/5 = 25/5
g = 5
Answer:
The complex number belongs to the third quadrant of the complex plane.
Step-by-step explanation:
Let be . In the complex plane, if (real component) and (imaginary component), the number belongs to the third quadrant of the complex plane. The complex number belongs to the third quadrant of the complex plane.
Answer:
The required value of x = 3
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
The given three points are collinear to each other and the point P lies somewhere between the end points of the line MN
So, to find the value of x we can use the relation : Sum of Mid segments PM and PN is equal to complete length of the line segment MN
⇒ PN + PM = MN
⇒ 6·x + 2·x - 5 = 5·x + 4
⇒ 8·x - 5·x = 4 + 5
⇒ 3·x = 9
⇒ x = 3
Hence, The required value of x = 3