Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1)
Given
2)
Definition of Congruence
3)
Segment Addition Postulate
4)
Substitution Property
5)
Transitive Property
6)
Subtraction Property (of Equality)
7)
Definition of Congruence
Answer:
We know that:
H(x) = |1 - x^3|
and:
We want to write H(x) as f( g(x) ) , such that for two functions:
So we want to find two functions f(x) and g(x) such that:
f( g(x) ) = |1 - x^3|
Where neither of these functions can be an identity function.
Let's define g(x) as:
g(x) = x^3 + 2
And f(x) as:
f(x) = | A - x|
Where A can be a real number, we need to find the value of A.
Then:
f(g(x)) = |A - g(x)|
and remember that g(x) = x^3 + 2
then:
f(g(x)) = |A - g(x)| = |A - x^3 - 2|
And this must be equal to:
|A - x^3 - 2| = |1 - x^3|
Then:
A = 3
The functions are then:
f(x) = | 3 - x|
g(x) = x^3 + 2
And H(x) = f( g(x) )
Answer:
7x + 14y + 2
Step-by-step explanation:
(3x+8y+8)+(4x+6y-6)
3x + 8y + 8 + 4x + 6y - 6
3x + 4x + 8y + 6y + 8 - 6
7x + 14y + 2
Answer:
Step-by-step explanation:
Counter clockwise 180 degree rotation