Answer:
15
Step-by-step explanation:
The unit vector that is in the same direction as v is given by:
<h3>How to find a vector given two points?</h3>
The vector is given by the <u>terminal point subtracted by the initial point,</u> hence:
v = (-17, 4) - (7, -9) = <-24, 13>
<h3>How to find the unit version of a vector?</h3>
Each coordinate of the vector is <u>divided by it's norm</u>.
For this vector, the norm is given by:

Hence the unit vector is:
More can be learned about vectors at brainly.com/question/24606590
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9514 1404 393
Answer:
a = 36
Step-by-step explanation:
A stationary point is where the function derivative is zero. Here, we have ...
y' = 2kx -16/x^2 = 0
For x = 2/3, this is ...
4/3k -16/(4/9) = 0
4/3k = 36
k = 27
Then the value of y at that point is ...
y = 27(2/3)^2 + 16/(2/3) = 12 +24 = 36
The stationary point of interest is (2/3, a) = (2/3, 36). a = 36.
A basketball is the shape of a sphere.
The volume of a sphere is given by

Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.
Thus, the volume of the basketball is given by

Therefore, The best approximate of the volume of the basketball is