The answer is -25/3.
If you need it simplified let me know.
Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
The expression of the translated function g(x) is gotten as; g(x) = 2x² - 3
<h3>How to Interpret Graph Translations?</h3>
We are given the function;
f(x) = 2x² + 3
Now, when we translate a function f(x) downwards, the new function becomes;
g(x) = f(x) - a
where a is the amount of units by which the graph was translated.
Thus for translation of 6 units vertically downwards;
g(x) = 2x² + 3 - 6
g(x) = 2x² - 3
Read more about Graph Translations at; brainly.com/question/26238840
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Answer:
1
Step-by-step explanation:
Add teh exponents.
9^c * 9^-c = 9^(c - c) = 9^0 = 1
It would be n. 2+3=5 and e is the 5th letter. 4+5=9 and i is the 9th letter so 6+8=14 and n is the 14th letter
