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ladessa [460]
3 years ago
8

Which of the following is the algebraic expression that best describes the sequence 1/11, 2/11, /3/11, 4/11

Mathematics
2 answers:
Bess [88]3 years ago
7 0
The answer is D. x/11

Say you need to find the xth place in the sequence. Based on the fact that the 1st place is 1/11, the 2nd place is 2/11, and so on, to find the value of the xth place in the sequence the answer is x/11.
Ket [755]3 years ago
3 0

Answer:

The answer is D. \frac{x}{11}

Step-by-step explanation:

In order to determine the correct sequence, we need to find differences in the numerator and the denominator of the fraction between two continuous terms.

In the numerator, the number is increasing in one digit. The first term in the numerator of the sequense is 1, the second is 2, the third is 3, and so on.

In the denominator, the number is constant (11).

Therefore, we define a "x" variable that represents the number in the numerator. So to find the value of the nth place in the sequence is:

\frac{x}{11}

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Write the equation of a line that passes a given point and has the given slope. Answer in standard form. 1. Point (-3,5), m = -7
Likurg_2 [28]

Answer:

  1. y -5 = -7(x +3)
  2. y = 7

Step-by-step explanation:

The point-slope form of the equation can be used for this. It is generally written as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

1. For m=-7, (h, k) = (-3, 5), the equation is ...

  y -5 = -7(x +3)

__

2. For m=0, (h, k) = (4, 7), the equation is ...

  y -7 = 0(x -4)

  y = 7

_____

<em>Comment on the form of the answer</em>

Since a point and slope are given, "<em>the</em> equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...

  y -7 = 0

Sometimes, "<em>the</em> equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...

  y = -7x -16

There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.

5 0
3 years ago
What foes the acronym FDA stands for
vlabodo [156]
Food and Drug Administration.
6 0
2 years ago
If PN=29cm and MN=13 , then PM=?
HACTEHA [7]

*see attachment for the figure referred to

Answer/Step-by-step explanation:

1. PN = 29

MN = 13

PM = ?

PN = PM + MN (Segment addition postulate)

PN - MN = PM (subtract MN from each side)

29 - 13 = PM (substitute)

16 = PM

PM = 16 cm

2. PN = 34, MN = 19, PM = ?

PN = PM + MN (sediment addition postulate)

PN - MN = PM (subtract MN from each side)

34 - 19 = PM (substitute)

15 = PM

PM = 15 cm

3. PM = 19, MN = 23, PN = ?

PN = PM + MN (Segment addition postulate)

PN = 19 + 23 (substitute)

PN = 42 cm

4. MN = 82, PN = 105, PM = ?

PN = PM + MN (segment addition postulate)

PN - MN = PM (subtract MN from each side)

105 - 82 = PM (substitute)

23 = PM

PM = 23 cm

5. PM = 100, MN = 100, PN = ?

PN = PM + MN (Segment addition postulate)

PN = 100 + 100 (substitute)

PN = 200 cm

7 0
3 years ago
Moses earns a gross salary of 10 500 per month. th basic monthly expenses used from the income are as follows ,housing expense 2
Zolol [24]

Answer:

$126000

Step-by-step explanation:

Gross salary per month = $10500

Gross salary per annum

= Gross salary per month × 12

= $10500 × 12

= $126000

7 0
2 years ago
In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

7 0
3 years ago
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