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Answers by Tamara J.

The goal is to translate the triangle with the given vertices in any which you choose and then prove that the original triangle and the translated triangle are congruent by the side-side-side postulate (i.e., if 3 sides of a triangle are equal to 3 sides of another triangle (in length/distance)...

     -2x + 2 + x - 5 = 1 - 2x - x + 5   first, simplify the equation by combining any like terms on either side of the equation:        -2x + 2 + x - 5 = 1 - 2x - x + 5        -2x +...

y = -2x - 8     ;     -4x - y = 24   the substitution method requires that you solve one of the given equation for one of the unknown variables in term of the other variable and substitute it into the other given equation and that would leave you with an equation...

please help (answer)

(1) Translations:     f(x+c) => translates graph c units to the left                                                         ...

     -4y - (5y + 6) = -7y + 3 Distribute the negative sign into the terms inside the parentheses on the left hand side:      -4y + (-5y - 6) = -7y + 3      -4y + -5y + -6 = -7y + 3      -4y -...

It would be helpful if you included the original problem for which the final result you are asking about, but since the topic you posted this under is factoring expressions completely then we can find what the original expression should be from the final result you have and work from that.   ...

Recall:       i = √(-1)      ==>      i2 = (√(-1))2 = -1      i6 • i8 = i6+8               = i14                =...

Word problem (answer)

Given:     ƒ(x) = 0.0316x2 + 0.015x - 0.046           x = time (in years) from 1981 to 2006 ,  where   1981:   x = 1 ,   1982:   x = 2 , ... ,   2006: x = 26 (a) the year 2001 corresponds to  x = 21   ...

     (3x2 + 2x - 5) + (5x2 - 4x + 6) Here you have two trinomials being added to one another. To simplify this expression, simply combine like terms:      (3x2 + 5x2) + (2x - 4x) +  (-5 + 6)         ...