The function h is defined as h(x)=4x^2-5. Find h(x+3).

Write your answer without parentheses, and simplify it as much as possible.

Angle 3 and angle 4 are linear pair

Step-by-step explanation:

* Lets revise the types of angles

- If two line intersected at a point, there are two types of

pairs of angles

- Two vertically opposite angles equal in measure

- Linear pair of angles their sum is 180°

* Now lets solve the problem

- There are two lines intersect each other at a point

- They formed between them 4 angles

- Angle 2 and angle 4 are vertical opposite angles, equal in measure

- Angle 1 and angle 3 are vertical opposite angles, equal in measure

∴ m∠2 = m∠4

∴ m∠1 = m∠3

- Angle 1 and angle 2 formed a line

∴ They are linear pair of angles

- Angle 3 and angle 4 formed a line

∴ They are linear pair, of angles

∵ m∠1 + m∠2 = 180°

∴ m∠3 + m∠4 = 180°

* Angle 3 and angle 4 are linear pair