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Maslowich
2 years ago
9

The value of k such that (x-5) divides the polynomial p(x)= x^3-6x^2+kx+30 exactly,is

Mathematics
1 answer:
mixas84 [53]2 years ago
3 0

Answer:

k = - 1

Step-by-step explanation:

If (x - 5) is a factor of p(x) then p(5) = 0

p(5) = 5³ - 6(5)² + 5k + 30 = 0 , that is

125 - 150 + 5k + 30 = 0

5 + 5k = 0 ( subtract 5 from both sides )

5k = - 5 ( divide both sides by 5 )

k = - 1

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Write in scientific notation: 0.0042
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Answer:

Scientific Notation:

4.2 × 10^-3

E-Notation:

4.2e-3

Engineering Notation:

4.2 × 10^-3

Real Number:

0.0042

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6120

Step-by-step explanation:

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Given the following formula, solve for l.
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What is the volume of the pyramid shown?
Vilka [71]

Answer:

The answer to your question is 440 in³, this is my result I can not see the height in the picture I think the number is 40 in

Step-by-step explanation:

Data

length of a side = 6 in

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Process

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Ab = 6 x 6

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Find the terminal point on the unit circle determined by pi radians.
svet-max [94.6K]

Answer:

Terminal points

(x,y) = (\frac{1}{\sqrt{2} }) , (\frac{-1}{\sqrt{2} })

Step-by-step explanation:

According to the question, it is provided that

\theta = \frac{7\pi}{4}

Now

x = 1. cos (\frac{7\pi}{4})\\\\ = cos (2\pi - \frac{\pi}{4})\\\\= cos \frac{\pi}{4} \\\\= \frac{1}{\sqrt{2} }

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Now

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