The GCF would be 14a, because 14a x 1 = 14a, and 14a x 2b = 28ab.
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
D. Because the teachers are what matter in this survey.
Answer:
3rd option
Step-by-step explanation:
Given
x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )
= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term
= (x² - 5)(x - 7)
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