What is the length of this leg?

Given:

The given function is:

[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

To find:

The differentiation of the given function.

Solution:

Consider the given function,

[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

It can be written as:

[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]

[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]

[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]

[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]

Differentiate with respect to x.

[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]

[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]

[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]  

Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].

Answer:

2√5

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √[1 - (-1)]² + [3 - (-1)]

= √(2)² + (4)²

= √(4) + (16)

= √20

= 2√5

Answer:

solution given:

Area of triangle ABC=½b×h=½×18×21=189km²

Area of square DEFG=l²=9²=81km²

Area of rectangle DHIJ=l×b=4×13=52km²

Total area =189+81+52=322 square kilometers.

Answer:

322 sq. km

Step-by-step explanation:

the area of fig. =

(½×18×21)+(13×4)+(9×9)

= 189+52+81

= 322 sq. km

Answer:

B

Step-by-step explanation:

Not much to explain

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The square root of 5 ([tex]\sqrt{5}[/tex]) is irrational.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Since the square root of 5 is not a perfect square, it would be irrational.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

-3 2 3 7

Step-by-step explanation:

The answer is above

Answer:

ok

Step-by-step explanation:

lol

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

As I cannot help you do your assignment since you didn't upload the questions, I can just give you the instructions.

I believe you are supposed to open the Student Guide that your cursor is hovering over (the boxed line in the picture) and then solve the problems (or do) the stuff inside. Then, you take a picture of your work/answers and upload that to the File Upload below.

Answer:

RPT = 208

Step-by-step explanation:

Arc ST = 97                            Given

Arc RP = 180 - 97                   Straight line

Arc RP = 83

Arc PT = 125                          Given

Arc RPT = 125 + 83               Add the two arcs together.

Arc RPT = 208

Answer:

The answer is A: 12x Hope this helps!

Answer:

2) 96

3) 121

Step-by-step explanation:

2) 8 x 12 = 96

3) 11 x 11 = 121

Answer:

surface area of the cyclinder=2πr²+2πrh

=(2×3.14×12²)+(2×3.14×12×8)

=904.32+602.88

=1507.2mi²

Answer:

The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right

Step-by-step explanation:

y > -3x + 7

The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right

Answer:

Cup cakes= $3

Bear claws = $10

Step-by-step explanation:

Let the orice of cupcakes be x and the price of bear claws be y

5x+ 3y= 45

4x + 6y= 72

Multiply equation 1 by 4 and equation 2 by 5

20x + 12y= 180

20x + 30y= 360

-18y= -180

y= 10

Substitute 10 for y in equation 1

5x + 3(10)= 45

5x + 30= 45

5x = 45-30

5x= 15

x= 15/5

= 3

Hence the price of cup cakes is 3 and bear claws is $10

Answer: C

Step-by-step explanation:

My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.

#[tex]AnimePower[/tex]

Isolationism is what identified America in that moment.

Hope this helps!

Have a fabulous day!

Answer:

2.5 or 2 and 1/2

Step-by-step explanation:

30/12 = 2.5

There are two wholes that fit in 30 with a remainder of half of a whole.

2.5 translates to 2 and 1/2

Answer:

Hello! answer: 2½

Step-by-step explanation:

Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!

Answer:

24 units²

Step-by-step explanation:

Hi there!

[tex]A=bh[/tex] where b is the base and h is the height of the parallelogram

Plug in 6 as the base and 4 as the height

[tex]A=(6)(4)\\A=24[/tex]

Therefore, the area of the parallelogram is 24 units².

I hope this helps!

Answer:

Height = 6 cm

Base = 4 cm

Area

We know that

Area = Base × Height

Area = 4 × 6

Area = 24 in²

[tex] \\ [/tex]

Answer:

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Answer:

Smallest number with the properties in the question = 57

Step-by-step explanation:

Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.

LCM of 4,5 and 6 is 60.

We are told that;

The number has a remainder of 1 when divided by 4

The number has a remainder of 2 when divided by 5

The number has a remainder of 3 when divided by 6

In all 3 cases, the difference between the divisor and the remainder is 3.

This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57

Answer:

13.3

Step-by-step explanation:

By using sinus rule