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MAVERICK [17]
3 years ago
12

Simplify: −z3+5k6−(−z3+10k6)

Mathematics
2 answers:
natta225 [31]3 years ago
7 0

Answer:

The answer to your question is        -5k⁶

Step-by-step explanation:

Polynomial

                                      - z³  + 5k⁶  - (-z³ + 10k⁶)

Use law of signs for the parenthesis

                                     - z³  + 5k⁶ + z³  - 10k⁶

Use associative property for like terms

                                    (-z³ + z³) + (5k⁶ - 10k⁶)

Simplify like terms

                                    (0)  +   (-5k⁶)

Result

                                               -5k⁶

Likurg_2 [28]3 years ago
4 0

Answer:

-5k ^6 is your answer! Hope this helps!

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The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.
tatuchka [14]

Answer:

y=\dfrac{7}{5}x-\dfrac{67}{5}

Step-by-step explanation:

<u>Slope-intercept form of a linear equation:</u>

 y=mx+b

where:

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  • b is the y-intercept.

<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:

\implies -5x-7y=-17

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Therefore, the slope of the given equation is -⁵/₇.

If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1.  Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

\sf m=\dfrac{7}{5}

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:

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\implies b=-\dfrac{67}{5}

<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

\implies y=\dfrac{7}{5}x-\dfrac{67}{5}

Learn more about slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/27926846

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2 years ago
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Step-by-Step Explanation:

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<h2 /><h2><em><u>1. Equal the sides added together to the perimeter</u></em></h2>

75 = 2x + 3 + 3x + 4 + 2x - 9

<h2><em><u>2. Simplify Like terms</u></em></h2>

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<h2><em><u>3. Place the equation back together</u></em></h2>

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<h2><em><u>4. Isolate the variables and numbers</u></em></h2>

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