What is the value of x for which (8-x)^2=x^2

Answer:

x=2

Step-by-step explanation:

8^1/6 x 2^x = 32^1/2

Divide by 8^1/6

2^x= 32^42/8^y6

2^x=4

but 4= 2^2

2^x= 2^2

x=2

I hope helps you and if you consider and want you can give me a Brainly crown

Answer:

[tex]\huge\boxed{x=2}}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]

Answer: 3x + 2) 12x� + 20x� + 11x + 2

Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2

and write 4x� above the 20x�:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and

write it under the first two terms and draw a line underneath:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�  

Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,

and write 12x� under the line under 8x�, like this:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x�

Now bring down the next term + llx and write in next to the 12x�

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x

and write + 4x above the 11x at the top, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and

write it under the first two terms and draw a line underneath:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,

and write 3x under the line under 8x, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x

Now bring down the last term + 2 and write in next to the 3x

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Divide the first term on the bottom 3x by the 3x at the left:

%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,

like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and

write it under the two terms at the bottom and draw a line

underneath:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,

and write 0 under the line under 2, like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

                           0

Now you are done and the answer is 4x%5E2%2B4x%2B1 and

since the remainder is 0 you do not have to put it over

the divisor 3x+%2B+2 and add it on like you do when

the remainder is not 0.

Step-by-step explanation:

Answer:

First answer (question 7) -18 (question 8) -13 (question 9) -3 (question 10) -2

Step-by-step explanation:

12 roses costs $45.60, so in order to find the cost of one rose you have to divide the cost of 12 roses by 12, which gives $3.80.

Now that you know the cost of one rose, you can write an equation that gives you the cost in terms of the total number of roses by multiplying the cost of one rose by the total number of roses (x). This equation should be C = 3.8x

To find how much 18 roses would cost, you plug 18 into the previous equation for x, which gives you $68.40

Answer/Step-by-step explanation:

1. Well, we know that a dozen roses costs $45.60. We also know that a dozen is the same as 12. To know how much 1 rose costs, we need to divide $45.60 by 12.

45.60 ÷ 12 = $3.80. Therefore 1 rose costs $3.80.

2. y = yx

This is because the total amount of roses equal the cost of each rose multiplied by the amount of roses.

3. To find out how much 18 roses costs, we need to multiply the amount of one rose by 18. So, 3.80 x 18 = $68.4

Hope the helps! :D

Answer: 62

Step-by-step explanation:

Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.

28+90=118

180-118=62

Answer:

901$

Step-by-step explanation:

Answer:

first line: count

second line: negative

third line: positive

Step-by-step explanation:

Answer:

7 and 8

Step-by-step explanation:

Answer:

The fraction of white marbles is 4/9

Step-by-step explanation:

The fraction of white marbles is 4/9. This is because the ratio provided states that for every 5 red marbles in the bag there are 4 white marbles. Therefore, in a set of 9 total marbles (5+4) we can assume that exactly 4 of those marbles will be white since that is the ratio that has been provided. If there are a total of 18 marbles we can assume that exactly 8 will be white marbles, and so on. Each of which represent the fraction of white marbles in the bag as 4/9

x=[tex]3[/tex]

[tex]3^{2} +x^{2} =[/tex][tex]18[/tex]

⇒[tex]x^{2} =18-3^{2}[/tex]

⇒[tex]x^{2}[/tex]=[tex]18-9[/tex]

⇒[tex]x^{2}[/tex]=[tex]9[/tex]

⇒[tex]x[/tex]=√[tex]9[/tex]

⇒[tex]x=3[/tex]

Answer:

Step-by-step explanation:

-|-16|-(-16)=0

1. -|-16|=-16

2. -16-(-16)= -16+16

3. -16.16=0

Answer:

-213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3|x + y|² - (xy)²

x = 3

y = -5

Step 2: Evaluate

Answer:

4/7 divided by 15 is 4/105. so no its not an improper fraction

Step-by-step explanation:

Note: It seems you have asked the exact same type of questions again and again. So, I will solve the first question. The rest of the questions is the carbon copy of the same concept and solution method. Hopefully, it would get your concept clear.

Answer:

The distance between the points (3, 6) and (8, -1)

Step-by-step explanation:

Given the points

Finding the distance between the points (3, 6) and (8, -1)

(x₁, y₁) = (3, 6)

(x₂, y₂) = (8, -1)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

  [tex]=\sqrt{\left(8-3\right)^2+\left(-1-6\right)^2}[/tex]

  [tex]=\sqrt{5^2+7^2}[/tex]

  [tex]=\sqrt{25+49}[/tex]

  [tex]=\sqrt{74}[/tex]

[tex]d=8.6[/tex]  

Thus, the distance between the points (3, 6) and (8, -1)

NOTE: All the remaning questions have the same method of solution.

Answer:

B

Step-by-step explanation:

9x20=180

Answer:

7/3 mph

Step-by-step explanation:

knowing that:

distance traveled = velocity * time - velocity of the water * time

4 = v1 * 1.5 + v2 * 1.5

4 = v1 * 2 - v2 * 2

solve the system in any way you want,

v1 = 7/3 miles per hour

v2 = 1/3 miles per hour

Answer:

y>4

Step-by-step explanation:

8y+9>41

subtract 9

8y>32

divide by 8

y>4

Answer:

y>4

Step-by-step explanation:

8y+9>41

subtract 9 from both sides

8y>32

divide 8 on both sides

y>4

Answer:

D (The one on the very bottom)

Step-by-step explanation:

If he started with 22 and went fifteen up, the arrow should be pointing to the right to show an increase in the amount of money Max has.

22+15=37

Answer:

4.

Step-by-step explanation:

22 + 15 = 37

hope it helps

Answer:

17.5 in

Step-by-step explanation:

Step one:

given

The perimeter of a rectangle is 53 inches

let the two shorter sides be the width w

so w+w= 18in

the two longer sides is L

L+L=2l

Step two:

but the expression for the perimeter of a rectangle is

P=2W+2L

53= 18+2L

53-18=2L

35=2L

divide both sides by 1

L=35/2

L=17.5

Answer:

26.29 cu. in.

Step-by-step explanation:

Answer:

how to do what? there is no question attached

Step-by-step explanation:

Answer:

i think  {x,y} = {-5,-2}  

Step-by-step explanation:

Answer:

All 4 are solutions to the inequality.

Step-by-step explanation:

What we know:

The inequality requires that 48/f is less than or equal to 46.

Plug in each of the choices to see if that will work

48/12 ≤ 46

4 ≤ 46, so f = 12 will work.

48/-12 ≤ 46

-4 ≤ 46, so f = -12 will also work.

48/-3 ≤ 46

-16 ≤ 46, so f = -3 will work as well.

48/8 ≤ 46

6 ≤ 46, so f = 8 will work as well.

Since all 4 work, that means you should check all 4 choices on the question.

Answer:

money

Step-by-step explanation:

m

Answer: 90

Step-by-step explanation:

90 degrees. x=90-47=43 degrees.

Step-by-step explanation: We can find the measure of its complement

by taking 90 minus the measure of the original angle.

So we have 90 - 47 which is 43.

So the measure of its complement is 43°.

Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7

p(x) = x³ - x² + x + 1

i ) p(-1) = (-1)³ - ( -1 )² + ( -1 ) + 1

= -1 - 1 - 1 + 1

= -2

ii ) p( 1 ) = 1³ - 1² + 1 + 1

= 1 - 1 + 1 + 1

= 2

Now ,

[ p(-1) + p(1) ]/2

= [ -2 + 2 ]/2

= 0

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