Step-by-step explanation:
8-3 = 5,
3-5 = -2 = the x coordinate of B
-2-4 =-6,
-2-6 =-8 = the y coordinate of B
(-2,-8) is the point B
A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint
A is 6 up from the midpoint so B is 6 down from the midpoint
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Step-by-step explanation:
Answer:
y = 6/7
Step-by-step explanation:
The equation given is:
-3 = 7(y - 9/7)
To solve this, we will expand the bracket and afterwards, collect like terms:
-3 = (7*y) - (9/7 * 7)
-3 = 7y - 9
Collecting numeric terms to the left hand side:
-3 + 9 = 7y
=> 6 = 7y
=> y = 6/7
That is the solution.
Answer:
The pair which are inverse of each other are:
Option: C
Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
and 
Now we calculate fog(x):
Hence, option: A is incorrect.
B)
Now we calculate fog(x):
Hence, option: B is incorrect.
D)
![f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3](https://tex.z-dn.net/?f=f%28x%29%3D9%2B%5Csqrt%5B3%5D%7Bx%7D%5C%20and%5C%20g%28x%29%3D9-x%5E3)
Now we calculate fog(x):
![fog(x)=9+\sqrt[3]{9-x^3}\neq x](https://tex.z-dn.net/?f=fog%28x%29%3D9%2B%5Csqrt%5B3%5D%7B9-x%5E3%7D%5Cneq%20x)
Hence, option: D is incorrect.
C)
Now we calculate fog(x):
Similarly,
Hence, option: C is the correct option.
