ANSWER
The dot product is 10.
EXPLANATION
The given vectors are (2,4) and (1,2).
If we have the vectors
u=(a,b) and v=(c,d)
Then the dot product of the two vectors is given by

This implies that,

This simplifies to;

The first one is the answer 0.9
Step-by-step explanation:
The slope of the equation tangent to y = f(x) at x = 4 is equal to f'(4). Therefore,

We also know that the line passes through the tangent point at (4, -1) so we can write the slope-intercept form of the equation as
or

so our equation is

or in standard form,

Answer:
60 inches
Step-by-step explanation:
the least common multiple of 12 and 10 is 60
you can use the prime factorization tree or a list method
1st multiple of 10: 10 1st multiple of 12: 12
1st multiple of 10: 20 1st multiple of 12: 24
1st multiple of 10: 30 1st multiple of 12: 36
1st multiple of 10: 40 1st multiple of 12: 48
1st multiple of 10: 50 1st multiple of 12: 60
1st multiple of 10: 60
You can stop when a common multiple is reached
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