You know that the discrete metric only takes values of 1 and 0. Now suppose it comes from some norm ||.||. Then for any α in the underlying field of your vector space and x,y∈X, you must have that
∥α(x−y)∥=|α|∥x−y∥.
But now ||x−y|| is a fixed number and I can make α arbitrarily large and consequently the discrete metric does not come from any norm on X.
Step-by-step explanation:
hope this helps
Answer:
14
Step-by-step explanation:
f'(2) = 2y + 10
f'(2) = 2(2) + 10
= 4 + 10
= 14
Answer:
Step-by-step explanation:
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With the information provided in the problem, we can create a right triangle with the ramp as its hypotenuse, and the vertical rise as its opposite side from its angle of elevation.
Let

be the angle of elevation from the car to the end of the ramp. We now know that the hypotenuse of our triangle measures 445 feet, and the opposite side measures 80 feet, so we need a trig function that relates our angle of elevation with the hypotenuse and the opposite side. That function is sine:



We can conclude that the angle of elevation from the car to the end of the ramp is 10.36°.
Answer:


Step-by-step explanation:
<u>Solution 3:</u>
Equivalent fractions to are to
be found out.
<u>Method: </u> By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.
1. Multiply with 2:

2. Multiply with 3:

3. Multiply with 4:

If we try to write in variable form, it can be written as:

where x is any number.
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<u>Solution 4:</u>
when 

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<u>Solution 5:</u>
