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olga nikolaevna [1]

3 years ago

14

Generate the first five terms in the sequence using the explicit formula. yn=-5n-6

1 answer:

alexandr402 [8]3 years ago

8 0

Given that n starts from 1,
y₁ = -5(1) - 6 = -11
y₂ = -5(2) - 6 = -16
y₃ = -5(3) - 6 = -21
y₄ = -5(4) - 6 = -26
y₅ = -5(5) - 6 = -31

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Step-by-step explanation:

We proceed to solve for $x$ by the Pythagorean Theorem:

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$x_{1} = 4$ , $x_{2} = 1$

A solution of $x$ is considered realistic when the length of every side of the triangle is a not negative number.

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$UV = 2\cdot (4) - 4$

$UV = 4$

$WU = 4 - 1$

$WU = 3$

$WV = 4 + 1$

$WV = 5$

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$UV = 2\cdot (1) - 4$

$UV = -2$

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$WU = 0$

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$WV = 2$

The only realistic set of solutions is for $x = 4$ , and the radius of the circle is represented by the line segment $WU$ : $r = 3$

And the area of the circle ( $A$ ) is calculated from the following formula:

$A = \pi\cdot r^{2}$

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The correct answer is C.

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