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Anarel [89]
3 years ago
11

Please guys I need your help for this question ASAPPp!!!

Mathematics
1 answer:
o-na [289]3 years ago
8 0
yea they're equivalent cause to solve the second equation sqrt of x+1 plus 3 equals 8 you must subtract 3 from both sides and when you do that you get sqrt of x+1=5 and thats the same as the first equation
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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers​
lidiya [134]

Answer:

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

Step-by-step explanation:

We are given x=\sqrt{3}-1 and we are asked to find the value of x^2-x+1.

So we will need to find x^2.

x=\sqrt{3}-1

Square both sides:

x^2=(\sqrt{3}-1)^2

Expand using identity: (x-a)^2=x^2-2ax+a^2.

x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2

x^2=3-2\sqrt{3}+1

x^2=4-2\sqrt{3}

Let's go back to the full x^2-x+1.

x^2-x+1

(4-2\sqrt{3})-(\sqrt{3}-1)+1

4-2\sqrt{3}-\sqrt{3}+1+1

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

5 0
3 years ago
A sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standa
nignag [31]

For this problem, the confidence interval is the one we are looking for. Since the confidence level is not given, we assume that it is 95%.

 

The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n


Where:

<span>
</span>

α= 5%


α/2 = 2.5%


t 0.025, 19 = 2.093 (check t table)


n = 20


df = n – 1 = 20 – 1 = 19

So plugging in our values:


8.41 ± 2.093 * 0.77 √ 1 + 1/20


= 8.41 ± 2.093 * 0.77 (1.0247)


= 8.41 ± 2.093 * 0.789019


= 8.41 ± 1.65141676


<span>= 6.7586 < x < 10.0614</span>

3 0
3 years ago
Need answers asap bae&lt;3 <br>ill mark you the whatever if you answer bestie​
BlackZzzverrR [31]

Answer:

question

Step-by-step explanation:

what was the question? <3

6 0
3 years ago
Find the value of x in the triangle shown below.<br> a. x=21<br> b. x=42<br> c. x= 15<br> d. x=21
elena55 [62]

THEOREM:

  • <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

ANSWER:

By pythagorean property,

  • x² = 12² + 9²
  • x² = 144 + 81
  • x² = 225
  • x = √225
  • x = 15 units.

So, <u>Correct choice</u> - [C] 15 units.

7 0
3 years ago
Read 2 more answers
Which ordered pair is a solution to this equation? y = 5x - 2 (0, 2) (1, 4) (2, 7) (3, 13)
Maurinko [17]
Hello : 
(3, 13) <span>pair -  solution because when x=3     y = 5(3)-2 = 13</span>
4 0
2 years ago
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