<h3>
<u>Explanation</u></h3>
- Convert the equation into slope-intercept form.

where m = slope and b = y-intercept.
What we have to do is to make the y-term as the subject of equation.


From y = mx+b, the slope is 3.
<h3>
<u>Answer</u></h3>

Answer:
p^5 + q^5
Step-by-step explanation:
(p + q)^5
p^5 + q^5 Distribute the fifth power to the letters in the paranthesis
Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12