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Sindrei [870]
1 year ago
6

%7B2%7D%20-%2049ay%20%5E%7B2%7D%20" id="TexFormula1" title="16y ^{5} - 12y ^{4} + 4y \\ \\ 64 a \times ^{2} - 49ay ^{2} " alt="16y ^{5} - 12y ^{4} + 4y \\ \\ 64 a \times ^{2} - 49ay ^{2} " align="absmiddle" class="latex-formula">
Plss answer this
​
Mathematics
1 answer:
Shkiper50 [21]1 year ago
7 0

Answer:

see explanation

Step-by-step explanation:

Assuming you require to factorise the expressions

16y^{5} - 12y^{4} + 4y ← factor out 4y from each term

= 4y(4y^{4} - 3y³ + 1)

--------------------------------

64ax² - 49ay² ← factor out a from each term

= a(64x² - 49y²) ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

64x² - 49y²

= (8x)² - (7y)²

= (8x - 7y)(8x + 7y)

then

64ax² - 49ay² = a(8x - 7y)(8x + 7y)

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20. x = 5, y = -2

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Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

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2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

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Solve this system of two equations:

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From the second equation

y=17x-175

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22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

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Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

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