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ArbitrLikvidat [17]
3 years ago
8

HELP ME ASAP ?!? PLEASE Find the length of the missing side. Simplify all radicals.

Mathematics
2 answers:
Troyanec [42]3 years ago
4 0
It’s 6 because if you divide 12 divided by 2 that’s 6 and to check it multiply 6x2=12
Gnom [1K]3 years ago
4 0

Answer:

b = 12

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.

So:

12² + b² = (12√2)²

144 + b² = [(12√2) (12√2)]

144 + b² = (12 × √2 × 12 × √2)

144 + b² = (144 × 2)

144 + b² = 288

b² = 144

√b² = √144

b = 12

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Answer:

  4) y = -3(x+2)^2 +4; y = -3x^2-12x-8; ABC=(-3, -12, -8)

  5) y = 0.5(x-1)^2-2; y = 0.5x^2-x-1.5; (h,k) = (1, -2)

  6) y = -0.3(x+2)^2-6; y = -0.3x^2-1.2x-7.2; (h,k) = (-2, -6)

Step-by-step explanation:

Writing a quadratic equation through a set of points is most easily done using the regression function of a graphing calculator or spreadsheet.

4) see the first attachment

  y = -3(x+2)^2 +4 . . . vertex form

  y = -3x^2 -12x -8 . . . standard form (A, B, C) = (-3, -12, -8)

__

5) see the second attachment

  y = 0.5(x -1)^2 -2 . . . vertex form; vertex = (1, -2)

  y = 0.5x^2 -x -1.5 . . . standard form

__

6) see the third attachment

  y = -0.3(x +2)^2 -6 . . . vertex form; vertex = (-2, -6)

  y = -0.3x^2 -1.2x -7.2 . . . standard form

_____

Doing this without machine help requires you pick a form of the equation you want, fill in the x- and y-values for three of the given points, then solve the resulting equations for the unknown parameters. Usually, we use the form ...

  y = ax^2 +bx +c

which will result in three linear equations for a, b, c. Those can be solved by any of the usual methods.

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