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evablogger [386]
3 years ago
15

A polynomial equation with rational coefficients has the roots -8 and 2-i. Find two additional roots

Mathematics
1 answer:
shutvik [7]3 years ago
8 0

Answer:

Step-by-step explanation:

If the polynomial is a cubic (third-degree), then it is

f(x) = x³+4x²-27x+40

and the other root is 2+i.

However, if we need two additional roots, it implies that the polynomial is a quartic (fourth degree).  In that case, we need additional information.  Reread the original question and  update post if necessary.

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Surface area of a sphere is 615.752 m2, what is the volume of the sphere?
const2013 [10]

B

the volume (V) of a sphere = \frac{4}{3} πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² = \frac{615.752}{12.56} = 49.0248...

take the square root of both sides

r = \sqrt{49.0248..} ≈ 7, hence

V= \frac{4}{3} × π × 7³ = 1436.76 m³ → B



8 0
4 years ago
Which of these are arithmetic sequences?
Leviafan [203]

Answer:

D

Step-by-step explanation:

The first and last sequence have a common difference in them. The first having d = 4 and the second having d = 7.

The second and third have a common ratio instead and are geometric sequences. The second has r = 2, and the third having r = (-3)

7 0
4 years ago
line j has an equation of y=-x+8. line k includes the point (1,-3) and is perpendicular to line j. what is the equation of line
In-s [12.5K]

Answer:

y = x - 4

Step-by-step explanation:

<u>Use point slope form:  (y - y1) = m(x - x1)</u>

m = 1

<u>Step 1:  Plug in</u>

(y - (-3)) = 1(x - 1)

y + 3 - 3 = x - 1 - 3

y = x - 4

Answer:  y = x - 4

8 0
3 years ago
Diagram 1 shows a composite solid consisting of a cuboid and a right pyramid.
kondaur [170]
44 the total volume of this composite solid is 896
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3 years ago
In the formula C= prn, p stands for
umka21 [38]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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