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antiseptic1488 [7]
2 years ago
11

WRITE AN EQUATION IN POINT SLOPE FORM FOR THE LINE THROUGH THE GIVEN POINT WIHT THE GIVEN SLOPE (-10,-6): M=-5/8

Mathematics
2 answers:
MariettaO [177]2 years ago
7 0

y + 6 = -5/8 ( x + 10 _


Lisa [10]2 years ago
4 0

y=-\frac{5}{8}x - \frac{49}{4}

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Solve for x -3x+6=2x-24<br><br>-30<br><br>-6 <br><br>6<br><br>30
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In an arithmetic series, the sum of the first 12 terms is equal to ten times the sum of the first 3 terms. If the first term is
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Answer:

Step-by-step explanation:

The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

If a = 5, the expression for the sum of the first 12 terms is

S12 = 12/2[2 × 5 + (12 - 1)d]

S12 = 6[10 + 11d]

S12 = 60 + 66d

Also, the expression for the sum of the first 3 terms is

S3 = 3/2[2 × 5 + (3 - 1)d]

S3 = 1.5[10 + 2d]

S3 = 15 + 3d

The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,

60 + 66d = 10(15 + 3d)

60 + 66d = 150 + 30d

66d + 30d = 150 - 60

36d = 90

d = 90/36

d = 2.5

For S20,

S20 = 20/2[2 × 5 + (20 - 1)2.5]

S20 = 10[10 + 47.5)

S20 = 10 × 57.5 = 575

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A. DNA stores genetic information
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