3 years ago

The point p(-3,2) is translated up 3 and right 4. what are the coordinates of p

Mathematics

1 answer:

monitta3 years ago

6 0

Answer:

P'(1, 5)

Step-by-step explanation:

Up 3 is vertical movement, so it changes the y-value: 2 + 3 = 5

Right 4 is horizontal movement, so it changes the x-value: -3 + 4 = 1

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An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

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Option B is correct

The nth term of an arithmetic sequence is given as:

$a_{n} = a + (n - 1)d$

The first value, a = 22

$a_8 = a+(8 - 1)d\\a_8 = a + 7d$

Since $a_8 = 43$

$43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3$

The common difference, d = 3

$a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64$

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