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2 years ago

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Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....

2 answers:

pishuonlain [190]2 years ago

9 0

Answer:

the answer is D

Step-by-step explanation:

Alexandra [31]2 years ago

5 0

Answer:

Option D Both students could be correct. Because the numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

Step-by-step explanation:

A geometric sequence has a common ratio. Here, that ratio would be 11/-5.5 = -2 if the sequence is geometric. That ratio would mean the next two terms are ...

11 × -2 = -22

-22 × -2 = 44

__

An arithmetic sequence has a common difference. Here, that difference would be 11 -(-5.5) = 16.5 if the sequence is arithmetic. That difference would mean the next two terms are ...

11 +16.5 = 27.5

27.5 + 16.5 = 44

__

These descriptions match those offered by the students, so both could be correct.

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Answer:

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Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

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substitute

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