Four expressions are shown below:
1 answer:
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The ship is 88.8 miles far from the port at 4 pm.
Given,
The displacement from 1 to 3 in the afternoon.
D1 = 30 miles/hr × 2 hr
= 60 miles to the north
The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.
Therefore, D2 = 30 miles/hr × 1 hr
= 30 miles to the 20° north eastward
By combining two vectors, the resulting displacement:
D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²
D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²
D = 88.8 miles
Hence the ship is 88.8 miles far away from the port at 4 pm.
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Answer:
3
Step-by-step explanation:
A polynomial is sometimes easier to evaluate if it is first written in Horner form:
-2x^2 -4x +3 = (-2x -4)x +3
For x = -2, this is ...
(-2(-2) -4)(-2) +3 = 0(-2) +3 = 3
The value is 3 when x = -2.
