Answer:
465.988 mph
Step-by-step explanation:
The two speed vectors form two sides of a triangle. Their included angle is 45°, so the law of cosines can be used to find the resultant magnitude x.
x^2 = 500^2 +50^2 -2·500·50·cos(45°) ≈ 217,144.66
x ≈ √217,144.66 ≈ 465.988 . . . . miles per hour
_____
You may find you need to round the answer to the nearest whole number.
Answer:
(B) The exponents should be subtracted by the quotient rule of exponents
Step-by-step explanation:
Let's examine how this was solved.
He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.
He then combined the numerator exponents. Exponent rules say that , so he should have ended up with
, which he did. This is correct.
Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have , it equals
.
So the final answer should have been
Hope this helped!