Answer:
It is not a right triangle
Step-by-step explanation:
A triangle has side lengths of 8 inches, 12 inches, and 16 inches.
To determine if it is a Right Triangle, we make use of the Pythagoras Theorem, i.e.
Now the Hypotenuse is always the longest side
The equality above is not true and in fact
Therefore the 3 numbers do not satisfy Pythagoras theorem and cannot be the lengths of a right triangle.
Step-by-step explanation:
Simply replace X with 3 etc...
f (x) = 4x + 7
f (3) = 4 (3) + 7
f (3) = 12 + 7
f (3) = 19
f (2x) = 4 (2x) + 7
f (2x) = 8x + 7
The answer is 56 hope this helps
Answer:
A horizontal line at when y=6
Step-by-step explanation:
When this equation, y=6 is given, you know that every y=6. So, no matter what your x value is, your y value is always 6. e.g. (0,6), (17,6), (5341234323543412,6)
Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
