Answer:
Step-by-step explanation:
Answer:
-1/2.
Change in y above change in x (don't mix that up)
The first coordinate is 3,-2 the second is 2,-4.
The change is x was -1 . (2-3)
The change in y was 2. (-4-(-2))
Answer:
15 a^2 + -10 a b
Step-by-step explanation:
Expand the following:
5 a (-2 b + 3 a)
Hint: | Distribute 5 a over -2 b + 3 a.
5 a (-2 b + 3 a) = 5 a (-2 b) + 5 a (3 a):
-2 5 a b + 5 3 a a
Hint: | Combine products of like terms.
5 a×3 a = 5 a^2×3:
5×3 a^2 - 2×5 a b
Hint: | Multiply 5 and 3 together.
5×3 = 15:
15 a^2 - 2×5 a b
Hint: | Multiply 5 and -2 together.
5 (-2) = -10:
Answer: 15 a^2 + -10 a b
for the first truck 1680 / 14 = 120 liters used
the second 1680 / 12 = 140 litres used
so 140-120 = 20 liters <span>the second truck used more </span>
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 = 
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given: 

Divide by 2: 

Square root: 
Scratchwork: 

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

LHS = RHS 