Find a cubic polynomial in standard form with real coefficients, having the given zeros.

1 answer:

6 0

If 2 + 3i is a zero, then 2 - 3i is also a zero

x(x - 2 - 3i)(x - 2 + 3i)
= x(x² - 2x + 3ix - 2x + 4 - 6i - 3ix + 6i - 9i²
= x(x² - 4x + 4 + 9)
= x(x² - 4x + 13)
= x³ - 4x² + 13x

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Find the side length x. Round your answer to the nearest hundredth.

Alchen [17]

Side length-80

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Consider this cylinder with the given base area and height measures. A cylinder with height of 9 inches and Base B = 12 pi inche

Ipatiy [6.2K]

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

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stich3 [128]

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When you use sine and cosine to solve the value of 0 for the two triangles below, you obtain the same value.

Vikki [24]

Answer:The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Step-by-step explanation:

In these definitions, the terms opposite, adjacent, and hypotenuse refer to the lengths of the sides.

For example, if we want to recall the definition of the sine, we reference S\blueD{O}\purpleC{H}SOHS, start color #11accd, O, end color #11accd, start color #aa87ff, H, end color #aa87ff, since sine starts with the letter S. The \text{\blueD{O}}Ostart text, start color #11accd, O, end color #11accd, end text and the \text{\purpleC{H}}Hstart text, start color #aa87ff, H, end color #aa87ff, end text help us to remember that sine is \text{\blueD{opposite}}oppositestart text, start color #11accd, o, p, p, o, s, i, t, e, end color #11accd, end text over \text{\purpleC{hypotenuse}}hypotenusestart text, start color #aa87ff, h, y, p, o, t, e, n, u, s, e, end color #aa87ff, end text!

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Write a rule for the nth term of the arithmetic sequence:<br><br> a11= 50, d = 7

ivolga24 [154]

Answer:

Required rule for $n^{th}$ is $a_{n}=7n-27$ .

Step-by-step explanation:

Given that,

$a_{11} = 50,\ \ d=7$

From the question: we have to write the $n^{th}$ term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

$a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}$