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liberstina [14]
3 years ago
6

Go step by step to reduce the radical. V216

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

6\sqrt{6}

Step-by-step explanation:

\sqrt{216}

factorise 216

\sqrt{2*2*2*3*3*3}

since it is square root (meaning it has index to) pair up the number

2*3\sqrt{2*3

6\sqrt{6}

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Step-by-step explanation:

Y= -6

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If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

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3 years ago
A porch will be 8 meters wider than long. The scale model for the porch floor has a width of 24 centimeters and length of 12 cen
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I need to find the measurements of the angles 1,2,3,and 4
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Find the slope given: (3, -10) &amp; (4, -21)<br> m =
AleksAgata [21]

Answer:

\displaystyle m=-11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, -10)

Point (4, -21)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{-21+10}{4-3}
  2. [Fraction] Add/Subtract:                                                                                 \displaystyle m=\frac{-11}{1}
  3. [Fraction] Divide:                                                                                             \displaystyle m=-11
3 0
3 years ago
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