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Elanso [62]
3 years ago
9

10/15 and 14/21 are equivalent fractions. true or false?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
I<span>10/15 and 14/21 are equivalent fractions because 10 x 21 = 15 x 14,
210 = 210.
TRUE.</span>
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  (2.27, 0.96)

Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

For example, the line perpendicular to side AC can be found as ...

  (∆x, ∆y) = C-A = (3, -1) -(-4, 2) = (7, -3)

  ∆x(x -h) +∆y(y -k) = 0 . . . . perpendicular through point (h, k)

For side AC, we want the point to be B(4, 5), so the equation is ...

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Similarly, the altitude to side AB can be written as ...

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The orthocenter is near (2.27, 0.96).

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A graphing application confirms this result.

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<em>Additional information about the cross multiplication method</em>

For the general form equations ...

  • ax +by +c = 0
  • dx +ey +g = 0

The "cross multiplication method" has you write the array ...

  \begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}

and form the "cross products" in groups of four coefficients:

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Then the solution to the set of equations is ...

  1/D = x/X = y/Y   ⇒   x = X/D, y = Y/D

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<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

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Describe independent and dependent variables.
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Dependent variables: A variable whose value depends on the value of another variable or variables

independent variable: A variable whose value determines the value of another variable or variables
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