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Burka [1]
3 years ago
9

Write an equation for the n th term of the arithmetic sequence then find a10 -6,-9,-12,-15

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer: a_{10} = -33

Step-by-step explanation:

-6, -9, -12, -15

The common difference is -3

d = common difference

Arithmetic sequence formula:

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

a_{10} = -6 + (10 - 1) -3

a_{10} = -6 + 9 × -3

a_{10} = -6 - 27

a_{10} = -33

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1 1\4x2 1\5 ≤ ≥ = 5\6 x 2 1\5
ValentinkaMS [17]

Answer:

≥

Step-by-step explanation:

1 1\4x2 1\5 = 2 3/4

5/6 x 2 1/5 = 1 5/6

7 0
3 years ago
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
3 years ago
DEFG is a parallelogram find the value of x and y. Plz HELP..
Vilka [71]

Answer:

B)x=23

y=20

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the period of the function f(x) shown in the graph? Enter your answer in the box.
muminat

Answer:

Step-by-step explanation:

π

4 0
3 years ago
3 to the power of 2+12÷(6-3)×8.
larisa86 [58]
3^2+12/(6-3)*8
3^2+12/3*8
9+12/3*8
9+4*8
9+32
41

Final answer: 41
Remember to follow pemdas, parentheses, exponents, multiplication and division, followed by addition and subtraction going from left to right.
7 0
3 years ago
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