Which of the following is not a real number?
A. √2
B. -2
C. √₁,
D. 0

A Line graph

Sure hope this helps you

The sum of the expression (x - 2) and (x+6) is 2x + 8

The sum of numbers simply means to add up the numbers.

Therefore,

(x  -2) + (x + 6)

Hence,

(x - 2) + (x + 6)

open the brackets

Therefore,

x - 2 + x + 6

combine like terms

x + x + 2 + 6

add or subtract the like terms

2x + 8

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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given equation -

[tex]\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\ [/tex]

solve the parenthesis so as to obtain simpler terms

[tex]\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\ [/tex]

solve the like terms and you'll obtain the required equation !

[tex]\bold{\implies \: x {}^{2} + 8x - 7 = 0}[/tex]

hope helpful ~

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

x = -7, -1

Step-by-step explanation:

[tex] \sf {(x + 2)}^{2} + 4(x + 2) - 5 = 0[/tex]

let (x + 2) = y

So equation will be

[tex] \sf {y}^{2} + 4y - 5 = 0[/tex]

Further it becomes quadratic equation

we will solve it by breaking middle term method

[tex] \sf \implies {y}^{2} + 5y - y - 5 = 0 \\ \\ \sf \implies y(y + 5) - 1(y + 5) = 0 \\ \\ \sf \implies (y + 5)(y - 1) = 0[/tex]

Now put the value of y

[tex] \sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\ \\ \sf \implies (x + 7)(x + 1) = 0[/tex]

(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0

x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1

Answer:

D.72

Step-by-step explanation:

first you have to divide 96 and 4 than it will equal 24 than you multiple by 3 and so 24×3=72

Answer: Cyclic quadrilateral

Step-by-step explanation:

Since angles OMB and ONC are right angles, it follows that AMO and ANO are also right angles. Thus, there is a pair of opposite angles that are supplementary, and thus AMON is a cyclic quadrilateral.

When you use word processor functions such as spell check and thesaurus to write a second draft, you are "C. Revising."

Revising means making changes and improvements to a piece of writing to make it better. This includes making it easier to understand, organizing it well, and making sure it is good quality overall.

Using spell check helps you fix mistakes in your spelling, while using the thesaurus helps you find different words that mean the same thing and choose better words to make your writing clearer and more accurate.

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Answer:

milk because ur dad left the milk

Step-by-step explanation:

ur mum bc she is a pro statue

The Cost of Carl's first item is 3.95. The Cost of his second item is 4.95. To find the total amount we need to add these two numbers together.

3 plus 4 is 7

95 cents plus 95 cents is 1.90

7+1.90 is 8.90

The total cost is $8.90

Hope this helps!

Answer:

2

Step-by-step explanation:

first, add terms

8 + 5 + 12 + 4 + 5 + 8 + 7 = 49

seven terms, therefore we divide by 7

49/7 = 7

find distance

8-7= 1

7-5= 2

12-7=5

7-4=3

7-5=2

8-7=1

7-7=0

added together you get 14,

14/7 = 2

your answer is 2

hope this helps:)

Answer:

Area = 50.125 cm^2

Perimeter = 26 + 15 = 41 cm

Step-by-step explanation:

Area Rectangle = 6 * 7 = 42 cm^2

Area Triangle = 1/2 * (9.5 - 7) * 6.5

Area Triangle = 1/2 * (2.5) * 6.5 = 8.125 cm^2

Total Area = 42 + 8.125 = 50.125 cm^2

Perimeter Rectangle = 6 + 7 + 6 + 7 = 26 cm

Perimeter or Triangle = 2.5 + 6.5 + 6 = 15 cm

Total Perimeter = 26 + 15 = 41 cm

Answer:

the measure of the fourth angle is 104 degrees

Step-by-step explanation:

Answer:

Fourth angle = 104º

Step-by-step explanation:

Angles in a quadrilateral add to 360º so:

90 + 46 + 120 + fourth angle = 360º

90 + 166 + fourth angle = 360º

256 + fourth angle = 360

fourth angle = 104º

Answer:

A lot

Step-by-step explanation:

So basically you learn a lot

Answer:

Answer with explanation is below~

Step-by-step explanation:

We could easily obtain the formulae/formula of an equilateral triangle not only through Pythagoras Theorem, but also through Heron's formula.

INTRODUCTION:

What's equilateral triangle?

What's Heron Formula?

[tex] \boxed{\rm \: Area= \sqrt{s(s - a)(s - b)(s - c)} \: units ^{2}} [/tex]

Where,

What's Pythagoras' Theorem?

SOLVING:

Let,ABC an equilateral triangle of sides a.

Now:Draw a perpendicular straight line AM to the side BC(Name each part of triangle)

So it's clear that ∆AMB is a right angled triangle at M, BM = (1/2)BC = a/2.

Please note AM here represents the height of ∆ ABC.

[tex] \boxed{\rm \: AM = \sqrt{AB^2-BM^2}}[/tex]

[tex] \rm \: AM = \sqrt{a {}^{2} - { \bigg( \cfrac{a}{2} \bigg) }^{2} } [/tex]

[tex] \rm \: AM = 3 \: \cfrac{a {}^{2} }{4} [/tex]

[tex] \rm \: AM = \cfrac{ \sqrt{3} }{2} \: a[/tex]

Now find the area of ∆ABC:

[tex] \rm \triangle \: ABC = \cfrac{1}{2} \times \: BC \times A [/tex]

[tex] \rm \: \triangle \: ABC = \cfrac{1}{2} \times a \times \cfrac{ \sqrt{3}}{4}a [/tex]

[tex] \boxed{\rm\triangle \: ABC = \cfrac{ \sqrt{3 } }{4} a {}^{2} \: units {}^{2}} [/tex]

Hence,the formulae of equilateral triangle using Pythagoras' theorem is {√(3)/4} a^2

[tex] \rule{225pt}{2pt}[/tex]

Extras:

Now let's find the area using Heron's Formula.

Solving:

Let each side of an equilateral triangle be a.

SO, then:

s = (3a/2)

We know that, (Heron's formula)

[tex] \rm \: A = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Now the area A :

[tex]\rm AR(A)= \sqrt{ \cfrac{ 3a } 2 \bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)} [/tex]

[tex]\rm AR(A)= \sqrt{ \cfrac{3a}{2} \bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)}[/tex]

[tex]\rm \boxed{ \rm AR(A)= \cfrac{ \sqrt{ 3a}}{4} \: a {}^{2} \: \: units {}^{2}} [/tex]

And voila! we're done!

I hope this helps! :)

[Figure of Equilateral triangle is attached, it denotes the triangle we need to draw while finding the formulae through Pythagoras' theorem. ]

A mean is an arithmetic average of a set of observations. The height of the 9th-grade students will be 66.7±4 inches.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given the height of the 10 selected students is {66, 61, 67, 61, 75, 71, 70, 61, 61, and 74}, also, the standard deviation of the 9th-grade students is 4 inches. Therefore, The mean height in inches of the selected students is,

Mean = (66+61+67+61+75+71+70+61+64)/10 = 66.7inches

Therefore, the height of the 9th-grade students will be 66.7±4 inches.

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Answer:

See below

Step-by-step explanation:

Not sure what they are looking for here....unless there is more info

[tex]\sqrt[14]{y}[/tex]  =  [tex]y^{1/14}[/tex]     perhaps?

Answer:

a) x=loge3 ( log e base 3)

b)4=e^y

Answer:

A.) loge(x)=3

B.)  e^y =4

Step-by-step explanation:

A.) loge(x)=3

B.)  e^y =4

Answer:

2:3

Step-by-step explanation:

Simplica Los dos numeros

6 ÷ 3 = 2

9 ÷ 3 = 3

Answer:

[tex]\displaystyle \boxed{ \frac{dz}{du} = \frac{e^\big{\frac{u(2u + v)}{v}}}{v} \Bigg[ 4u + v \Bigg] }[/tex]

[tex]\displaystyle \boxed{ \frac{dz}{dv} = \frac{ue^\big{\frac{u(2u + v)}{v}}}{v} \Bigg[ 1 - \frac{2u + v}{v} \Bigg] }[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:
[tex]\displaystyle (cu)' = cu'[/tex]

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Multivariable Calculus

Partial Derivatives

Partial Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{dw}{dt} = \frac{\partial w}{\partial x} \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} \frac{\partial z}{\partial t}[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle x = 2u + v[/tex]

[tex]\displaystyle y = \frac{u}{v}[/tex]

[tex]\displaystyle z = e^{xy}[/tex]

Step 2: Find Derivatives

[tex]\displaystyle \frac{dz}{du}[/tex]:

We can find the partial derivatives by differentiating using basic differentiation rules found under "Calculus":

[tex]\displaystyle\begin{aligned}\frac{\partial z}{\partial x} & = ye^{xy} \\\frac{\partial x}{\partial u} & = 2 \\\frac{\partial z}{\partial y} & = xe^{xy} \\\frac{\partial y}{\partial u} & = \frac{1}{v} \\\end{aligned}[/tex]

Substituting in our partial derivatives and our variables x and y, we can obtain a final derivative:

[tex]\displaystyle\begin{aligned}\frac{dz}{du} & = 2ye^{xy} + \frac{xe^{xy}}{v} \\& = \frac{2ue^\big{\frac{u(2u + v)}{v}}}{v} + \frac{(2u + v)e^\big{\frac{u(2u + v)}{v}}}{v} \\& = \boxed{ \frac{e^\big{\frac{u(2u + v)}{v}}}{v} \Bigg[ 4u + v \Bigg] }\end{aligned}[/tex]

∴ we have found the derivative of z with respect to u.

[tex]\displaystyle \frac{dz}{dv}[/tex]:

We can find the partial derivatives by using the same method(s):

[tex]\displaystyle\begin{aligned}\frac{\partial z}{\partial x} & = ye^{xy} \\\frac{\partial x}{\partial v} & = 1 \\ \frac{\partial z}{\partial y} & = xe^{xy} \\\frac{\partial x}{\partial v} & = \frac{-u}{v^2} \\ \end{aligned}[/tex]

Substituting in our partial derivatives and our variables x and y, we can obtain a final derivative:

[tex]\displaystyle\begin{aligned}\frac{dz}{dv} & = ye^{xy} + \frac{-uxe^{xy}}{v^2} \\& = \frac{ue^\big{\frac{u(2u + v)}{v}}}{v} + \frac{-u(2u + v)e^\big{\frac{u(2u + v)}{v}}}{v^2} \\& = \boxed{ \frac{ue^\big{\frac{u(2u + v)}{v}}}{v} \Bigg[ 1 - \frac{2u + v}{v} \Bigg] }\end{aligned}[/tex]

∴ we have found the derivative of z with respect to v.

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Topic: Multivariable Calculus

Unit: Partial Derivatives and Applications

Answer:

BC = 6 units

Given following:

Solve for BC:

Formula:

[tex]\rightarrow \sf tan(A) =\dfrac{opposite}{adjacent}[/tex]

insert values and make them proportional

[tex]\rightarrow \sf tan(A) =\dfrac{BC}{AC} = \dfrac{3}{2} = \dfrac{6}{4}[/tex]

So, BC is 6 units.

Answer:

1)  BC = 6

2)  B = 33.7°  (nearest tenth)

3)  [tex]\sf AB=2\sqrt{13}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

Substituting the values into the tan ratio:

[tex]\implies \sf \tan A=\dfrac{BC}{AC}=\dfrac{BC}{4}[/tex]

Given:

[tex]\sf \tan A=\dfrac{3}{2}[/tex]

Therefore:

[tex]\implies \tan \sf A = \tan \sf A[/tex]

[tex]\implies \sf \dfrac{BC}{4}=\dfrac{3}{2}[/tex]

[tex]\implies \sf BC=\dfrac{4 \cdot 3}{2}=6[/tex]

Given:

Substituting the values into the tan ratio and solving for B:

[tex]\implies \sf \tan B=\dfrac{AC}{BC}[/tex]

[tex]\implies \sf \tan B=\dfrac{4}{6}[/tex]

[tex]\implies \sf B=\tan ^{-1}\left(\dfrac{4}{6}\right)[/tex]

[tex]\implies \sf B=33.69006753...^{\circ}[/tex]

[tex]\implies \sf B=33.7^{\circ}\:(nearest\:tenth)[/tex]

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting the values into the formula and solving for AB:

[tex]\implies \sf AC^2+BC^2=AB^2[/tex]

[tex]\implies \sf 4^2+6^2=AB^2[/tex]

[tex]\implies \sf 16+36=AB^2[/tex]

[tex]\implies \sf AB^2=52[/tex]

[tex]\implies \sf AB=\sqrt{52}[/tex]

[tex]\implies \sf AB=2\sqrt{13}[/tex]

Answer:

[tex]32\sqrt{7}-24\sqrt{2}[/tex]

Step-by-step explanation:

[tex]8(4\sqrt{7}-\sqrt{18})\\\\8(4\sqrt{7}-3\sqrt{2})\\\\32\sqrt{7}-24\sqrt{2}[/tex]

Answer:

  slope 4/5

Step-by-step explanation:

The attachment shows the rise in green (4 grid squares), and the run in red (5 grid squares). The slope is the ratio rise/run.

__

The slope is rise/run = 4/5.

Answer:

$1,129.27

Step-by-step explanation:

Compounded interest formula is

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the principal, [tex]r[/tex] is the anual interest in decimal, [tex]n[/tex] is the numer of compounded periods in one year and [tex]t[/tex] is the time in years.

[tex]P= 800\\r= 0.09\\n= 1\\t= 4[/tex]

So then we plug our numbers...

[tex]A=800(1+\frac{0.09}{1})^{1(4)}=800(1.09)^{4}[/tex]

[tex]A=$1,129.27[/tex]

After 4 years the amount would be $1,129.27

Answer:

Round off value = 500000

Step-by-step explanation:

467532  > 500

- Round up

⇒ 500,000

Answer:

3.5 centimeters

Step-by-step explanation:

75% of 2 cm = .75 x 2 = 1.5 cm

2 cm + 1.5 cm = 3.5 cm

Answer:

Option C is the correct answer

Step-by-step explanation:

Answer: D. Using another person's ideas or writing without citing them.

Step-by-step explanation: Plagiarism is the use of someones work and claiming it as their own without giving them credit

Answer:

y = -3x - 1

hope this helps!