x^2 + y^2 + 2x - 6y + 1 = 0
x^2 +2x + 1 + y^2 - 6y = 0
x^2 + 2( x × 1) + 1^2 + y^2 - 2(y×3) + 3^2 -3^2 =0
(x+1)^2 + (y-3)^2 = 3^2
comparing with circle equation
(x-a)^2 + (y - b)^2 = r^2
where (a , b) is centre of circle.
so we get center of circle is
(-1, 3)
(2x - 5)° + 45° = 180°
2x° + (-5 + 45)° = 180°
2x° + 40° = 180°
2x° = 180° - 40°
2x° = 140°
x° = 140 ÷ 2
x° = <u>7</u><u>0</u><u>°</u>
So, the value of x is 70°
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term

Plug in
and you should get the following:

The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in
which shifts everything one spot to the left.
Answer:
<u>8 and 4</u>
Step-by-step explanation:
8 + 4 = 12
8 - 4 = 4
Answer:
slope or m= -5/2
Step-by-step explanation: