Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.

Answers

Answer 1

Answer: It depends if you mean $√(8x) +1=5$ or $√(8x+1) = 5$

$√(8x) +1=5$

Subtract 1 from both sides.

$√(8x) =4$

Take the square root of both sides.

8x = sqrt(4)
8x = 2
x = 1/4.

Plugging it back in:
sqrt(8*0.25) + 1 = 5
sqrt(2) = 4

This is not true because the square root of 2 is about 1.41, which does not equal 4.
So it is an extraneous solution.
__________________________________________
$√(8x+1) = 5$
Square both sides.
8x + 1 = 25
8x = 24
x = 3

Not extraneous because equation works out when you plug x back in.

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Answers

The angle will also be 40 degrees because the reflected ray has the same angle as the incident ray.

What is the reflection of light?

When light rays reflect off a surface, migrate from one transparent medium to another, or travel through a medium whose composition is constantly changing, they change direction.

The angle of the reflected ray is equal to the angle of the incident beam when reflected off a flat surface, according to the law of reflection. (By convention, all angles in geometrical optics are measured with respect to the surface's normal, i.e. a line perpendicular to the surface.)

The reflected ray always falls in the plane specified by the incident light and the surface normal. To comprehend the pictures formed by planar and curved mirrors, the law of reflection can be applied.

As per the question, the light ray hits a mirror at a 40-degree angle.

Thus, the angle will also be 40 degrees because the reflected ray has the same angle as the incident ray.

To learn more about the reflections click here:

brainly.com/question/15487308

#SPJ2

It will be also 40 degrees as reflected ray has an equal angle to incident ray.

A Man is redecorating his bedroom .he can choose from 5 paint colors 6 beds and 5 dressers how many ways can he choose to design his room

Answers

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Write the recursive function for this sequence.
8, 12, 18, 27

Answers

8, 12, 18, 27

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18 ÷ 12 = 1¹/₂
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$a_(n)} = 1(1)/(2)a_(n - 1)$

Compare using <, >, or =.

1/2 ___ 5/10

<
>
=

Answers

$(1)/(2) = 0.5$
$(5)/(10) = 0.5$

∴ $(1)/(5) = (5)/(10)$

Answer:

Step-by-step explanation:

1/2 = 0.5

5/10 = 0.5

So 1/2 = 5/10

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Answers

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False

Answers

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