Duration = distance ÷ velocity
duration = (5 1/5) ÷ (8 2/3)
duration = (26/5) ÷ (26/3)
= 26/5 × 3/26
= 3/5 of an hour <===
Answer:
Option (B)
Step-by-step explanation:
The given question is incomplete; please refer to the attached document for the full details.
In the attached graph,
The parent function is defined as an absolute value function,
f(x) = |x|
When this graph is moved four units to the left, the translation rule becomes,
f(x) → f(x + 4)
Consequently, the new function following this translation is,
g(x) = f(x + 4) = |x + 4|
Now, with the graph shifted down by two units, the translated function becomes,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
When reformulated as an equation, the graph can be represented by
⇒ y = |x + 4| - 2
Thus, Option (B) is the correct answer.
Using the identity sin(a-b) = sina.cosb - cosa.sinb
, with a set to 70 and b to 10, we find that sin(70-10) equals sin(60) which is √3/2
. Thus, Sin70cos10 - cos70sin10 results in sin60 = √3/2
.
The correct option is the first one - refer to the image for the solution: