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nikklg [1K]
3 years ago
8

Place the following steps in order to complete the square and solve the quadratic equation,

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

Given the equation

x^2-6x+7=0

<u>Step 1:</u> Add -7:

x^2-6x=-7

<u>Step 2:</u> Add 9:

x^2-6x+9=-7+9\\ \\x^2-6x+9=2

<u>Step 3:</u> Use perfect square formula:

x^2-6x+9=(x-3)^2\\ \\(x-3)^2=2

<u>Step 4:</u> Take square root:

\sqrt{(x-3)^2}= \sqrt{2}

<u>Step 5:</u> Simplify:

x-3=\sqrt {2}\text{ or }x-3=-\sqrt{2}

<u>Step 6:</u> Add 3:

x=3+\sqrt{2}\text{ or }x=3-\sqrt{2}

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Which number is not a perfect square?<br> A. 4<br> B. 9<br> C. 111<br> D. 81
Paladinen [302]

Answer:

C 111

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an
Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0
3 years ago
Round the digit greater than 10, and estimate the answer.<br> 8,572 x 7=<br> P
luda_lava [24]

Answer:

60000

Step-by-step explanation:

8572x7= 60004...

Rounded to the nearest 10 (Which I assume you wanted to happen) is: 60000

[If I am wrong I am very sorry, please message me]

6 0
3 years ago
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Multiply 3 with 7.
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8 0
3 years ago
If you want to convert 232323 to a fraction will you multiply by 10or 100​
Andre45 [30]

Answer:

it would actually be the opposite because if u multiply ur making the number higher, it can be a fraction but it would be 23/1 and thats a whole number u would need to divide by 100 and 100 bc if 10 u get 2 3/10 and if u divide by 100 u get 23/100 either way u get a fraction but if u divide by 10 u get a mixed fraction. If u just want a fraction u would have to divide from 100

Step-by-step explanation:

the same is for dividing decimals

8 0
3 years ago
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