Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:

Thus,

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.


Therefore when given the hypotenuse with endpoints at

We know that the third point of the right triangle will be at

and that the two side lengths will be defined by the absolute values of:


Answer:
f(x) and g(x) are inverse functions
Step-by-step explanation:
In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then
f(x) and g(x) are inverse functions
Let us use this rule to solve the question
∵ f(x) = 3x²
∵ g(x) = 
→ Find f(g(x)) by substitute x in f(x) by g(x)
∴ f(g(x)) = 3(
)²
→ Cancel the square root with power 2
∴ f(g(x)) = 3(
)
→ Cancel the 3 up with the 3 down
∴ f(g(x)) = x
→ Find g(f(x)) by substitute x in g(x) by f(x)
∴ g(f(x)) = 
→ Cancel the 3 up with the 3 down
∴ g(f(x)) = 
→ Cancel the square root with power 2
∴ g(f(x)) = x
∵ f(g(x)) = g(f(x)) = x
→ By using the rule above
∴ f(x) and g(x) are inverse functions
There is 1000 grams in a kilogram so he had a mass of 5,000 grames in his bag
Answer:
Step-by-step explanation:
60° , 60° , 60°
Answer:
y=2/3x+8
Step-by-step explanation: