Find the geometric mean of 6 and 42. In radical form

Answer: BASE 10

Step-by-step explanation:

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The solution set is {2, 42} & the extraneous root is 42

If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.

Given equation is,

[tex]2+\sqrt{2x-3}=\sqrt{x+7}[/tex]

Squaring both sides we get,

[tex]2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}[/tex]

⇒ [tex]4+4\sqrt{2x-3} +2x-3=x+7\\[/tex]

⇒ [tex]4\sqrt{2x-3} =6-x[/tex]

Again, squaring both sides we get,

⇒ [tex](4\sqrt{2x-3}) ^{2} =(6-x)^{2}[/tex]

⇒ [tex]16(2x-3)=6^{2} -12x+x^{2}[/tex]

⇒ [tex]32x-48=36-12x+x^{2}[/tex]

⇒ [tex]x^{2} -44x+84=0[/tex]

⇒ [tex]x^{2} -42x-2x+84=0[/tex]

⇒ [tex](x-42)(x-2)=0[/tex]

So, x = 2 & 42

Here extraneous root is 42.

Learn more about extraneous root here :

https://brainly.com/question/658096

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Answer:

28

Step-by-step explanation:

Let's set the ratio as

7x : 9x

If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)

So, we can write this equation.

7x + 9x = 48

Simplify.

16x = 48

Divide both sides by 16.

x = 4

Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x

7 * x = 7 * 4 = 28

The number of states that border an ocean is 28.

I hope this helps! Feel free to ask any questions!

Answer:

this is the answer

Step-by-step explanation:

hope this will help you

The angles are adjacent and complementary.

Complementary means they add up to 90 degrees.

3x + 45 = 90

3x = 90 - 55

3x = 45

x = 45/3

x = 15

The value of x is 15 degrees.

Answer:

8 pounds

Step-by-step explanation:

5 3/4 + 2 1/4 = 7 4/4 = 8

Answer: x = 150/6 = 25

Step-by-step explanation:

Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)

The value of x is (Choose...4, 11, 12, 19, 20, 25).

To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:

DE/CB = EF/BA

x/10 = 15/6

x = 150/6 = 25

The value of x in the triangle is 25

The triangle are similar.

Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.

Therefore, let's find the value x by establishing the proportion below:

ΔABC ≅ ΔFED

AB / FE = BC / ED = AC / FD

6 / 15 = 10 / x

cross multiply

6x = 150

x = 150 / 6

x = 25

learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults

Answer:

20 servings

Step-by-step explanation:

To find how many servings the bag would have, divide 5 by 0.25:

5/0.25

= 20

So, the bag would have 20 servings

Answer: true

Step-by-step explanation:

Answer:

49 and 36

Step-by-step explanation:

49 - 36 = 13

49 + 36 = 85

Answer:solving we get y=6  x+y=85

x-y=13

add the equations

2x=98

x=98/2

x=49

85-49=36

the numbers are 49 and 36

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

x = 90 - 67

x = 23

Answer:

1

Explanation:

I used the calculator.

Answer:

2.52

Step-by-step explanation:

On edg

Answer:

True.

Step-by-step explanation:

< ABF and < FBE are supplementary angles because when we sum up both we get 180°

Hope it will help :)❤

Answer:

1.75/8 would be your answer if im right.

Answer:

dude I want the same ans can anyone help plzz

Answer:

[tex]2\frac{3}{50}[/tex]

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50

Answer:

30

Step-by-step explanation:

21*10=210

210/7=30

x=30

Answer:

30..

Explanation

Answer:

Step-by-step explanation:

You should indicate which type of expression are you expecting.

But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer:

-50

Step-by-step explanation:

Answer:

a = -50

Step-by-step explanation:

-10 = 1/5a

multiply both sides of the equation by 5:

a = -50

Answer:

5/6 yard

Step-by-step explanation:

6/6 - 1/6= 5/6 yard

Answer:

x - 4 > 2x

(see below to solve for x if needed)

Step-by-step explanation:

"Greater than" is key word for the greater than symbol: >.

"A number" can be represented by x.

So "a number minus four" would be x - 4 and "two times a number" would be 2x.

So "A number minus 4 is greater than 2 times a number" is:

x - 4 > 2x

If you were to solve for x, it would be:

x - 4 > 2x

-x         -x

-------------

-4     > x

x < -4