Answer: Irrational because cannot be turned into fractions
Step-by-step explanation:
Answer:
m∠P=140°
Step-by-step explanation:
Given:
∠P and ∠Q are supplementary angles.
The measure of angle P is five less than four times the measure of angle Q.
To find m∠P
Solution:
The measure of angle P can be given as:
A) 
And
B)
[Definition of supplementary angles]
Substituting equation A into B.

Solving for 
Using distribution:

Simplifying by combining like terms.

Adding 20 to both sides.


Dividing both sides by 5.


Substituting
in equation B.

Subtracting both sides by 40.


Thus, we have:
m∠P=140° (Answer)
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) =
← from (- 1,
) , thus
average rate of change =
=
=
→ D
Answer:
Step-by-step explanation:
let : y = x² - 8
calculate : x
x² = y + 8
x exist : y + 8 ≥ 0
x = √(y + 8) or x = - √(y + 8)
conclusion :
if : x ≥ 0 the inverse of f(x) is : g(x) = √(x + 8)
if : x ≤ 0 the inverse of f(x) is : h(x) = - √(x + 8)
Should be the second one.