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4 years ago

What property does the number sentence show 8+0=8

Mathematics

2 answers:

givi [52]4 years ago

7 0

For this case we have the following expression:

8 + 0 = 8

The sum has several properties.

One of them is the following one:

Neutral element: the sum has a neutral element that is 0. If you add 0 to any number the result is the same number.

Answer:

The property shown in the given expression is:

Neutral element.

denpristay [2]4 years ago

7 0

8+0=8 is an example of the identity property of addition.

The identity property of addition states that any number added to zero will equal the original number.

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Which of the following is an extraneous solution of (45 minus 3 x) Superscript one-half Baseline = x minus 9?

STALIN [3.7K]

The extraneous solution of the given radical equation is x = 3

<h3>Finding the extraneous solution:</h3>

Here we have the radical equation:

$\sqrt{45 - 3x} = x - 9$

We want to get the extraneous solution, to get it, we first need to square both sides of the equation, so we get:

$(\sqrt{45 - 3x} )^2 = (x - 9)^2\\\\45 - 3x = x^2 - 18x + 81$

Now we got a quadratic equation, we can rewrite it as:

$x^2 - 18x + 81 + 3x - 45 = 0\\\\x^2 - 15x + 36 = 0$

To solve this we use Bhaskara's formula, we will get:

$x = \frac{15 \pm \sqrt{(-15)^2 - 4*1*36} }{2*1} \\\\x = \frac{15 \pm 9}{2}$

Then the two solutions are:

x = (15 + 9)/2 = 12

x = (15 - 9)/2 = 3

<h3>Which one is the extraneous solution?</h3>

Let's evaluate both solutions in our original equation and let's see which is the one that does not work:

for x = 12 we have:

$\sqrt{45 - 3*12} = 12 - 9\\3 = 3$

This is true.

For x = 3 we have:

$\sqrt{45 - 3*3} = 3 - 9\\\\6 = -6$

This is false, so the extraneous solution is x = 3.

If you want to learn more about extraneous solutions, you can read:

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Step-by-step explanation:

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Read 2 more answers

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s344n2d4d5 [400]

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y = -2x+2

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Step-by-step explanation:

y = mx+b

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