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3 years ago

25x power square - 36 y power square

Mathematics

1 answer:

finlep [7]3 years ago

3 0

$\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$={25x}^{2} - 36 {y}^{2}$

$= ({5 \times 5)x}^{2} - (6 \times 6){y}^{2}$

$= ({5x})^{2} -( {6y})^{2}$

$= (5x + 6y)(5x - 6y)$

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$

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Can someone help me plz

wolverine [178]

Answer:

75°

Step-by-step explanation:

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3 years ago

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VladimirAG [237]

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3 years ago

Solve on [0,2pi). Answer in order from smallest to biggest cos x sin x = sin x

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Step-by-step explanation:

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2 years ago

65 - 14 = 65-5-______

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7 0

3 years ago

<img src="https://tex.z-dn.net/?f=10x-16y%3D12%20%5C%5C%205x-3y%3D4" id="TexFormula1" title="10x-16y=12 \\ 5x-3y=4" alt="10x-16y

Molodets [167]

Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for y using Substitution

Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
Simplify the fractions down: 8 + 6y - 16y = 12
Combine like terms (y): 8 - 10y = 12
Subtract 8 on both sides: -10y = 4
Divide both sides by -10: y = 4/-10
Simply the fraction down: y = -2/5

Step 4: Substitute y back into an original equation to solve for x

Substitute: 5x - 3(-2/5) = 4
Multiply: 5x + 6/5 = 4
Subtract 6/5 on both sides: 5x = 14/5
Divide both sides by 5: x = 14/25

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
Multiply each term: 28/5 + 32/5 = 12
Add: 12 = 12

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find x - y

x = 14/25

y = -2/5

Substitute: 14/25 - (-2/5)
Simplify (change signs): 14/25 + 2/5
Add: 24/25

Hope this helped! :)

6 0

3 years ago

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25x power square - 36 y power square​

25x power square - 36 y power square