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4 years ago

7

What is the standard form of the number ninety-two hundredths?

1 answer:

Ulleksa [173]4 years ago

5 0

Answer:

.92

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:

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

7 0

3 years ago

(x+3)^2=43 when taking the square root of both sides of this equation, how many solutions will the equation have? how do you kno

34kurt

It will have 2 solutions because, if you take out the (-) it will be a whole diffrent answer!

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3 years ago

I'm having a hard time with this.

WITCHER [35]

Answer:

gghhuuuuuuuuuuuuuuuuuuuuuu

Step-by-step explanation:

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5 0

3 years ago

a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle

kakasveta [241]

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

$Tan\ x = \frac{Opposite}{Adjacent}$

$Tan\ x = \frac{5}{8}$

$Tan\ x = 0.625$

Take arctan of both sides

$x = tan^{-1}0.625$

$x = 32.0053832081$

$x = 32$ (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

$Tan\ y = \frac{Opposite}{Adjacent}$

$Tan\ y = \frac{8}{5}$

$Tan\ y = 1.6$

Take arctan of both sides

$y = tan^{-1}1.6$

$y = 57.9946167919$

$y = 58$ (Approximated)

<em>By comparing the angles, the smallest angle is 32 degrees</em>

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3 years ago

The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-scho

ladessa [460]

Answer:

0.16

Step-by-step explanation:

I took the test

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3 years ago