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Give me a funny shrek woman or anyone else

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

i need points ahsbdachsbecd

Step-by-step explanation:

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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

$k=\frac{-11}{2}$ .

Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

We want to find the value of $k$ if $\alpha+\beta=\frac{1}{2}$ .

Lets use veita's formula.

By that formula we have the following equations:

$\alpha+\beta=\frac{-(-(k+6))}{1}$ (-b/a where the quadratic is ax^2+bx+c)

$\alpha \cdot \beta=\frac{2(2k-1)}{1}$ (c/a)

Let's simplify those equations:

$\alpha+\beta=k+6$

$\alpha \cdot \beta=4k-2$

If $\alpha+\beta=k+6$ and $\alpha+\beta=\frac{1}{2}$ , then $k+6=\frac{1}{2}$ .

Let's solve this for k:

Subtract 6 on both sides:

$k=\frac{1}{2}-6$

Find a common denominator:

$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

$k=\frac{-11}{2}$ .

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3 years ago

Why is -csc^2 (pi/4) = -2 ?

sweet-ann [11.9K]

Sin(pi/4) = 1/sqrt(2)
csc(pi/4) = sqrt(2)
csc^2(pi/4) = 2
-csc^2(pi/4) = -2

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3 years ago

You will be charged 10.5% interest on a loan of 678 how much interest will you pay on the loan

Y_Kistochka [10]

10.5% of 678 =
0.105(678) = 71.19 <==
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