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Serga [27]
2 years ago
7

Solve: √x+1=√x+6=1

Mathematics
1 answer:
Nonamiya [84]2 years ago
4 0

Squaring both sides of the equation results in the equation,(x+1=x+6-1). Option A is correct.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation is;

\rm  \sqrt{x+1} = \rm  \sqrt{x+6} = 1

After squaring we get;

\rm  (\sqrt{x+1})^2 = \rm ( \sqrt{x+6})^2 = 1^2 \\\\ x+1 = x+6=1 \\\\\ x+1=1+6-1

The equation (x+1=x+6-1) is created by squaring both sides of the equation.

Hence option A is correct.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
EleoNora [17]

Answer:

For the perimeters, x must be equal to 2.

For the areas, it is either undefined, or something.

Step-by-step explanation:

You can first find the perimeters for both sides.

For the left shape, we add the two sides of 6 and x + 4 to get x + 10.

Then we multiply x + 10 by 2 because there are 4 sides, and we only got 2 sides.

The perimeter of the first shape is 2x + 20.

The second shape can be solved by doing the same thing by adding 2 and 3x + 4 to get 3x + 6.

3x + 6 times 2 is 6x + 12.

The second perimeter is 6x + 12.

If both sides are supposed to be equal, then we can write these two expressions we solved for like:

6x + 12 = 2x + 20.

Subtraction property of equality

6x + 12 - 12 = 2x + 20 - 12

Simplify

6x = 2x + 8

Again

6x - 2x = 2x - 2x + 8

Simplify

4x = 8

Division property of equality

4/4x = 8/4

Simplify

x = 2

So if x = 2, the perimeters will be the same.

You can confirm this by plugging it back into either equation.

For the areas, we just multiply the length and width for both shapes, so we get

6(x+4)  =  2(3x+4)

Since they are supposed to be equal.

We simplify and get

6x + 24 = 6x + 8

We know this is false and is not possible, since we can remove the 6x because it is on both sides.

We also know that 24 is not equal to 8 (who thought!)

:D

24 ≠ 8

So it is undefined or whatever you call it.

3 0
3 years ago
What is the solution of the system? use a graph. check your answer. y=2x+4, y=x+2​
vladimir1956 [14]

Answer:

see picture with work shown

4 0
3 years ago
Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36​
Svetlanka [38]

The answer that you are looking for is A. 40 to 27

8 0
3 years ago
What is a number <br> between 1.63 and 1.64
Oksi-84 [34.3K]

Answer:

1.635

Step-by-step explanation:

6 0
3 years ago
Please answer as fast as possible thanks
svp [43]

The correct answer is the 2nd choice because -1/6 is closer to 0 and the surface of the pool would be considered 0. -4/6 is farther away from 0 so it is less.

3 0
3 years ago
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