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3 years ago

What is the distance between A and B? Round your answer to the nearest hundredth. (4 points)

Mathematics

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

5.66

Step-by-step explanation:

The Pythagorean Theorem can be used if we imagine the line AB as the hypotenuse of a triangle sitting on the x-axis. If a line is drawn from point A straight down to the x-axis, at (0,2), the length of that side would be 4 units. The line from point (0,2) to point B would also be 4 units.

Using the Pythagorean Theorem:

$c^{2} = 4^{2} +4^{2} \\c^{2} = 16+16\\c^{2} = 32\\c = \sqrt{32} \\c = 5.65685424949\\c = 5.66$

Therefore, the distance between A and B is 5.66.

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In 2000, the population of a city was about 15 million, and it was growing by about 3% per year. At this growth rate, the functi

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3 years ago

Find f(-2) for f(x)=3•2^x

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0.75 or 3/4

Step-by-step explanation:

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3 years ago

Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.

KatRina [158]

Answer:

$\huge\boxed{6,\ -30;\ 78;\ -246;\ 690}$

Step-by-step explanation:

$a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78$

$\text{for}\ n=4\\\\a_4=-3a_{4-1}-12=-3a_3-12\\\\\text{substitute}\ a_3=78\\\\a_4=-3(78)-12=-234-12=-246\\\\\text{for}\ n=5\\\\a_5=-3a_{5-1}-12=-3a_4-12\\\\\text{substitute}\ a_4=-246\\\\a_5=-3(-246)-12=702-12=690$

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4 years ago

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ValentinkaMS [17]

Answer:

1 ko second quadrant and 2 ko chai fourth quadrant

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