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Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

Correct Option is d $(x+3)^2 = 11$

Step-by-step explanation:

For completing the square our equation should be in the form of $a^2 +2ab + b^2 = (a+b)^2$

In the given equation we have:

$x^2 +6x -2\\x^2 + 2(x) (?) +(?)^2 = 2\\for\,\, making\,\, 6x\,\, 2*x*3=6x \\so, \,\,we\,\, can\,\, add\,\, and\,\, subtract\,\, (3)^2 \,\,on\,\, both\,\, sides\\x^2 + 2(x) (3) +(3)^2 -(3)^2= 2\\(x+3)^2 -9 =2\\(x+3)^2 =2+9\\(x+3)^2 = 11$

Correct Option is d $(x+3)^2 = 11$

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I need help finding the missing side length with the answer in radicals in the simplest form.

AlekseyPX

Answer:

Step-by-step explanation:

There’s nothing hard with this

You need to know special right triangles

This is a 30,60, 90 triangle

We automatically know becuase theres. Right angle (90) and a 60 degree angle

now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6

The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers

Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N $\sqrt{3}$ . So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle