Each square below represents one whole …. What percent is represented by the shaded area?

let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]

[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]

Step-by-step explanation:

Avg = 20 + 14 + 28 + 18 /4

Avg = 80/4 = 20

Answer:

20

Step-by-step explanation:

9+9+2​=20

Hope this helps :)

Answer: 20

Step-by-step explanation:9x2=18 +2=20 or 9+9=18+2=20

Answer:

True

Explanation:

3 feet is 1 yard so 13/3 is 4.3 yards approximately

True

[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]

3x = 13

[tex]x = \frac{13}{3} yards[/tex]

Answer:

i believe the and\swe is g because it is located within the boundaries of plane p but is on a line (not the green segments) that goes outside of plane p

Step-by-step explanation:

Answer:

y = -2x-1

Step-by-step explanation:

The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].

Plug in the information given in the problem: y-(-7) = -2(x-3)

So you get y+7 = -2x+6.

The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.  

You get y = -2x-1

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]

Answer:x=-3.5

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

First you want to find the amount of x per 1 y so you divide 21 by 3 to get when x = 7 y = 1. Now you can just multiply 10 by 7 to get 70.

I hope this helps!

Answer:

what's the question...?

Step-by-step explanation:

Leave a comment?

Answer:

Step-by-step explanation:

[tex]y=\frac{x}{x+4}[/tex]

for domain x+4≠0

x≠-4

domain={R-{-4}}

R=all real numbers.

y(x+4)=x

yx+4y=x

yx-x=-4y

x(y-1)=-4y

[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]

so Range ={R-{-1}}

Answer:

7830000.00

Step-By-Step Explanation:

78 - 783 - 7830 - 78300 - 783000 - 7830000

Answer:   7830000

Step-by-step explanation:

7.83*10^6=

------------->

7.83*10^6=7.83

since the exponent equals 6, lets move the decimal sign 6 places to the right.

7.83*10^6=7.8.3.0.0.0.0.

Result is 7 8 3 0 0 0 0  

7.83*10^6=7830000

Answer:

Where is the problem?

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

4-3/7

1/7

Hope This Helps You.

Answer:

3 4/7

Step-by-step explanation:

Regroup 4 as 3 7/7.

Subtract 3 7/7 - 3/7 = 3 4/7

There's your answer!

please mark brainliest!

Answer:

Step-by-step explanation:

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

bouquet of roses were made for sale : 648/8 = 81

ok done. Thank to me :>

Answer:

3

Step-by-step explanation:

3.45x+2*1.65+5>=20

3.45x+8.3>=20

3.45x>=11.7

after rounding

x>=3

Answer:

Infinity probally. But there is a number called the god's number reported by Galileo in which he states a number in which the enitre universe fits.

Answer:

n - 7 = 16

Step-by-step explanation:

as it says "7 less than a number". If it was "a number less than 7" then it would be the 3rd one.

Answer: n - 7 = 16

Step-by-step explanation: i did quiz

Answer: I think the answer is C.. It looks like an 180 angle from my perspective.

I hope that is correct

Answer:

C

Step-by-step explanation:

Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C

Answer:

Step-by-step explanation: its b

Answer:

9 months

Step-by-step explanation:

99 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 = $459

We can see that the number of 40's has been repeated 9 times. So therefore, 9 months is our answer.

Answer:

19

Step-by-step explanation:

Note that

[tex]\dfrac{10a}{b+c} + \dfrac{10b}{a+c} + \dfrac{10c}{a+b} = 10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right)[/tex]

and

[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b}=\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]

from [tex]a+b+c=7 \implies a=7-bc; b = 7-a-c; c = 7-a-b[/tex]

and

[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b} = 7\left(\dfrac{1}{a+b}+\dfrac{1}{b+c}+\dfrac{1}{a+c}\right)-3[/tex]

because it is not difficult to note that

[tex]$\sum \dfrac a{b+c}=\dfrac a{b+c}+\dfrac b{c+a}+\dfrac c{a+b}$[/tex]

Therefore,

[tex]7\left(\dfrac{7}{10}\right)-3 = \dfrac{49}{10}-3 =\boxed{ \dfrac{19}{10}} = \dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]

Finally,

[tex]10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right) = 10 \cdot \dfrac{19}{10} = 19[/tex]

Answer:

1  C

2  A

Step-by-step explanation:

1 C No it cannot be defined because A and B are not congruent

2  A Yes, the lines will remain parallel

PS. It's only 50 points because two answers are allowed. Each answerer gets half.

The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number are x, y and z

Then,

x + y + z = 118  ...(1)

y = x - 8   ...(2)

z = 3y  ....(3)

After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:

x = 30

y = 22

Then z from the equation (3):

z = 3(22) = 66

Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

ninth grade teacher is going   skipping 30  to each class

Step-by-step explanation: