2x^2 + 108 = 42x NEED HELP SOLVING QUADRATIC EQUATION

Answer:

21600

Step-by-step explanation:

24x10x90=

240x90=

21600

Answer:

[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\tan(x-y)=\frac{y}{8+x^2}[/tex]

And we want to find dy/dx.

So, let's take the derivative of both sides:

[tex]\frac{d}{dx}[\tan(x-y)]=\frac{d}{dx}[\frac{y}{8+x^2}][/tex]

Let's do each side individually.

Left Side:

We have:

[tex]\frac{d}{dx}[\tan(x-y)][/tex]

We can use the chain rule, where:

[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]

Let u(x) be tan(x). Then v(x) is (x-y). Remember that d/dx(tan(x)) is sec²(x). So:

[tex]=\sec^2(x-y)\cdot (\frac{d}{dx}[x-y])[/tex]

Differentiate x like normally. Implicitly differentiate for y. This yields:

[tex]=\sec^2(x-y)(1-y')[/tex]

Distribute:

[tex]=\sec^2(x-y)-y'\sec^2(x-y)[/tex]

And that is our left side.

Right Side:

We have:

[tex]\frac{d}{dx}[\frac{y}{8+x^2}][/tex]

We can use the quotient rule, where:

[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]

f is y. g is (8+x²). So:

[tex]=\frac{\frac{d}{dx}[y](8+x^2)-(y)\frac{d}{dx}(8+x^2)}{(8+x^2)^2}[/tex]

Differentiate:

[tex]=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}[/tex]

And that is our right side.

So, our entire equation is:

[tex]\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}[/tex]

To find dy/dx, we have to solve for y'. Let's multiply both sides by the denominator on the right. So:

[tex]((8+x^2)^2)\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}((8+x^2)^2)[/tex]

The right side cancels. Let's distribute the left:

[tex]\sec^2(x-y)(8+x^2)^2-y'\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy[/tex]

Now, let's move all the y'-terms to one side. Add our second term from our left equation to the right. So:

[tex]\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy+y'\sec^2(x-y)(8+x^2)^2[/tex]

Move -2xy to the left. So:

[tex]\sec^2(x-y)(8+x^2)^2+2xy=y'(8+x^2)+y'\sec^2(x-y)(8+x^2)^2[/tex]

Factor out a y' from the right:

[tex]\sec^2(x-y)(8+x^2)^2+2xy=y'((8+x^2)+\sec^2(x-y)(8+x^2)^2)[/tex]

Divide. Therefore, dy/dx is:

[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)+\sec^2(x-y)(8+x^2)^2}[/tex]

We can factor out a (8+x²) from the denominator. So:

[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}[/tex]

And we're done!

Answer:

y- intercept= 1

m= 3

Step-by-step explanation:

m= (y2- y1)/(x2-x1)

m= (4-1)/(1-0)= 3

Answer:

4 multiplied by m equals 52

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

Subtract 2 from both sides:

3x + 2 - 2 = 11 - 2

3x = 9

Divide both sides by 3:

3x / 3 = 9 / 3

x = 3

Answer:

4n  or  n × 4

Step-by-step explanation:

Product means the result of multiplying factors.

Factors are the numbers or variables (a number, unknown) that are multiplied.

Answer: pemdas

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

7x3=21

2x2=4

4x5=20

21-20=1

Answer:

Rational

Step-by-step explanation:

As 0.70 can be represented as 70/100 or 7/10

Answer:

3+3tt=total amount of snow

Step-by-step explanation:

y=mx+b is used to show increase

In this case, b is the original 3 inches of snow. m is the constant growth, and x is tt, or the amount of time it is being compared to. y is the total.

The snowfall is at a constant rate of 3 inches per hour, then after 3 hours the snow in the lawn will be 12 inches and after t hours snow in the lawn will be 3 + 3(t).

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given scenario in the question,

Snow in the lawn = 3 inches

Rate of snow fall = 3 in/hr

So, the snow fall in 3 hours = 3 + 3(3) = 12 inches

And, snow fall after t hours = 3 + 3(t), here t is the number of hours.

To know more about equation:

https://brainly.com/question/14686792

#SPJ2

Answer:

2/34

Step-by-step explanation:

Answer:

Average change in height of the plant is 0.5 cm per day.

Step-by-step explanation:

Height of the plant on day 20 = 40 cm

Height of the plant on day 40 = 50 cm

Change in height = 50 - 40 = 10 cm

Number of days between day 20 and day 40 = 20

Average change in height of the plant = [tex]\frac{\text{Change in height of the plant}}{\text{Duration}}[/tex]

                                                                = [tex]\frac{10}{20}[/tex]

                                                                = 0.5 cm per day

Therefore, average change in height of the plant is 0.5 cm per day.

Answer:

it can be either one of this

x<-3 or x > -1

Answer:

6

Step-by-step explanation:

1-2-3-x-x

1-3-2-x-x

2-1-3-x-x

2-3-1-x-x

3-1-2-x-x

3-2-1-x-x

Answer:

644

Step-by-step explanation:

[tex]-216 * x - y[/tex]

We know that:

x = -3

y = 4

We can find the value of our expression by substituting x and y with the values given above. For example, instead of y, we'll put 4:

[tex]-216*x - y\\-216*(-3) - 4\\[/tex]

Since -216 * -3 is equal to 648:

[tex]648-4[/tex]

[tex]644[/tex]

Answer: 644

Answer:

Legislative

Step-by-step explanation:

The legislative branch makes laws. The executive branch enforces the laws. The judicial branch is made up of the courts.

Answer:

Legislative

Step-by-step explanation:

It's their biggest job

I took the test! Good luck :)

Answer:

a.

Step-by-step explanation:

Answer: 8 + 4x ≤ 30

Step-by-step explanation:

Since it costs $8 for Karen to enter the state fair and $4 each ride she goes, you would add 8 and 4x and include the less than or equal to sign symbol because Karen only has $30 and she got not spend anymore than $30.

Answer:

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.

Hope this helps you figure out the answer if not leave a comment and i will tell you

Option B is the correct answer.

Net diagram is a 2-dimensional plane figure which can be folded to form a 3-dimensional figure. Or we can say net diagrams are the figures which obtained by unfolding some 3D figures.

In the figure, given rectangular prism.

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

Therefore, option B is the correct answer.

Learn more about the net diagrams here:

https://brainly.com/question/3316927.

#SPJ2

Answer:

m= 1/2

Step-by-step explanation:

Use the slope formula to find the slope  m .

G is 95

H is 65

I is 20

Answer:

-6

Step-by-step explanation:

-3-3=-6

Step-by-step explanation:

-3-|-3|

-3+3

0

-×-=+

hope that helps

Answer:

k = [tex]\frac{u^2y-x}{u^2-1}[/tex]

Step-by-step explanation:

Given

u = [tex]\sqrt{\frac{k-x}{k-y} }[/tex] ( square both sides )

u² = [tex]\frac{k-x}{k-y}[/tex] ← multiply both sides by (k - y)

u²(k - y) = k - x ← distribute left side

u²k - u²y = k - x ( subtract k from both sides )

u²k - k - u²y = - x ( add u²y to both sides )

u²k - k = u²y - x ← factor out k from each term on the left side

k(u² - 1) = u²y - x ← divide both sides by (u² - 1)

k = [tex]\frac{u^2y-x}{u^2-1}[/tex]

Answer:

6 + 3 Divided by x minus 8.

Step-by-step explanation:

Answer:

7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42

Step-by-step explanation:

Answer:

do you still need help

Step-by-step explanation:

Answer:

  89

Step-by-step explanation:

On the first test, she got 3 more points than the average required, so she can afford to drop 3 points below the average on her second test. She needs 92-3 = 89 or better.

Answer:

a-yes

b-no

c-no

d-yes

e-yes

Answer:

The common ratio is -2.0

Step-by-step explanation:

I did the test and got it right

Answer:

32°

Step-by-step explanation:

As the aircraft horizontal distance is 'a', the vertical distance from the tower is 'o' . The 'a' is 8000M and 'o' is 500M.

[tex] tan(angle) = o \div a [/tex]

Thus, angle=32°

Answer:

32° is the answer.......