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sleet_krkn [62]
3 years ago
11

What type of symmetry does this figure have?

Mathematics
2 answers:
AveGali [126]3 years ago
5 0
Rational symmetry is the answer.
BARSIC [14]3 years ago
4 0
Rotational symmetry. Because you can rotate it and put a line through it and it would all look the same
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Locate the point (-3.5, -1) on the coordinate plane:
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Solve for x. x -5 x 7 ÷(8 - 9)<br> help lease
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joshua is 6 years younger than kerryn. Kerryn age can be represented by x.write an expression representing joshua's age.
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Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
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3 years ago
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