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bezimeni [28]
2 years ago
6

Need answer fast please. Which line is perpendicular to y = x + 2 and passes through (4,-1)?

Mathematics
1 answer:
Paraphin [41]2 years ago
4 0

Answer:

C. y = -x + 3

Step-by-step explanation:

y = x + 2

Find perpendicular slope (opposite reciprocal):

x/1 --> -1/x or -x

Convert to point-slope form:

y - (-1) = -1 (x - 4)

y + 1 = -1x + 4

y = -x + 3

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1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

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Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
Ron and amie opened an educational savings account for their daughter when she was born making a $5,000 initial investment. They
Arlecino [84]

Interest rate= 0.083%

Step-by-step explanation:

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X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtr
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To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that

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Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.

If you have any more questions, feel free to ask!

8 0
3 years ago
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