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3 years ago

The discriminant of x2 + 6x + 9 = 0

Mathematics

1 answer:

Readme [11.4K]3 years ago

4 0

Answer:

D = 0

Step-by-step explanation:

D = b^2 - 4ac =

= 6^2 - (4*1*9) =

= 36 - 36 = 0

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344 thousands times 1/10

11111nata11111 [884]

344 thousands times 1/10=34,400

3 0

3 years ago

Work out the size of angle x 126* 43*

il63 [147K]

Answer:

83°

Step-by-step explanation:

We khow that the sum of a triangle's angle is 180°

x is unkhown
an angle with 43° and another unkhown one

We should calculate the first one wich is given by : 180-126= 54

now finally :

x=180-(54+43)

=83°

5 0

3 years ago

Find integra of xlnxdx

Mademuasel [1]

Answer:

$\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}$

Step-by-step explanation:

Fundamental Theorem of Calculus

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Increase the power by 1, then divide by the new power.

Given indefinite integral:

$\displaystyle \int x \ln x \:\: \text{d}x$

To integrate the given integral, use Integration by Parts:

$\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}$

$\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}$

$\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2$

Therefore:

$\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}$

Learn more about integration here:

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5 0

2 years ago

An angle is created from points C, A, and B with vertex A. An arc is drawn from point A and intersects rays AC and AB. The inter

Minchanka [31]

Answer:

Bisecting an angle ⇒ answer a

Step-by-step explanation:

* Lets revise the steps of bisecting an angle

- How to construct a bisector of angle XYZ

1. Open the compass to any width, and place its pin at the angle’s

vertex Y and draw an arc cuts the two rays of the angle YX and YZ

at two points M and N respectively

2. Open the compass to another width and place its pin at M and draw

an arc between the two rays YX and YZ

3. Without changing the width of the compass place its pin at N and

draw another arc intersects the arc from M at point Q

4. Join YQ which is the bisector of angle XYZ

* Now lets compare these steps by the steps of the question

∵ The vertex of the angle ABC is A represented by Y

∵ The rays of the angle AC and AB represented by YX and YZ

∵ Points D , E represented by points M , N

∴ The construction is " Bisecting an angle "

7 0

3 years ago

A number is increased by 54. The sumos then divided by 9. The result is 21. Write an equation to represent the discription, use

hram777 [196]

Answer:

(n+54)/9 = 21

Step-by-step explanation:

A number: n

Is increased by 54: n+54

The sum is divided by 9: (n +54)/9

and the result is 21:

(n +54)/9 = 21

6 0

3 years ago