The set Upper B equals StartSet 1 minus t squared comma negative 2 t minus t squared comma 1 plus t minus t squared EndSetB=1−t2,−2t−t2,1+t−t2 is a basis for set of prime numbers P 2ℙ2. Find the coordinate vector of p(t)equals=negative 3 minus 12 t minus 4 t squared−3−12t−4t2 relative to B.

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step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4