Since there are 4 terms you will "factor b y grouping"
3a(4 - 5b) -4(4 - 5b)
each term has a common (4 - 5b) to factor out
(4 - 5b)(3a - 4)
Answer:
Correct Answer
Step-by-step explanation:
Answer:
6/10
Step-by-step explanation:
2 × 3 = 6
5 × 2 = 10
OR
6/10 = 3/5
Answer:
-15/17
Step-by-step explanation:
One method is to use Pythagorean identity.
sin² θ + cos² θ = 1
sin² θ + (-8/17)² = 1
sin² θ + 64/289 = 1
sin² θ = 225/289
sin θ = ±15/17
Since θ is in the third quadrant, sin θ < 0. So sin θ= -15/17.
Another method is to draw a triangle in the third quadrant, with angle θ, adjacent side -8, and hypotenuse 17. Use Pythagorean theorem to find the opposite side:
c² = a² + b²
17² = (-8)² + b²
b = -15
Therefore, sin θ = -15/17
Answer:
5/6
Step-by-step explanation:
3p - 2 = 2p/5 + p - 2/3
3p - p - 2p/5 = 2 - 2/3
2p - 2p/5 = (6 - 2)/3
(10p - 2p) / 5 = 4/3
8p = 4/3 * 5
8p = 20/3
p = 20/24
= 10/12
=5/6